We provide fractions and decimals practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on fractions and decimals skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of fractions and decimals Questions

Question No | Questions | Class |
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1 | If ( left(frac{8}{15}right)^{3}-left(frac{1}{3}right)^{3}-left(frac{1}{5}right)^{3}=frac{x}{75}, ) Find ( boldsymbol{x} ) |
7 |

2 | f ( frac{129}{2000}=frac{129}{2 m} times 5 n ) find the values of ( m ) and ( n ) |
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3 | Example for an improper fraction from the given options is A ( cdot frac{25}{26} ) в. ( frac{12}{13} ) c. ( frac{15}{14} ) D. ( frac{19}{20} ) |
7 |

4 | Wrote the following as mixed fraction ( frac{7}{2}, frac{8}{5} ) | 7 |

5 | ( mathbf{0 . 0 0 0 8 m}=mathbf{8} times mathbf{1 0}^{-boldsymbol{x}} boldsymbol{m} . ) Find ( mathbf{x} ) | 7 |

6 | Reciprocal of ( 2 frac{1}{4} ) ( mathbf{A} cdot-frac{9}{4} ) B. ( -frac{4}{9} ) c. ( frac{9}{4} ) D. ( frac{4}{9} ) |
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7 | Express each of the following without using decimals: ( boldsymbol{R} boldsymbol{s} . mathbf{5} . mathbf{2 5} ) |
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8 | Convert ( 1 frac{4}{11} ) into improper fraction? | 7 |

9 | The sum of place value of digit 2 in the number 21.236 is A . 20 B. 20.2 c. 22 D. 2.2 |
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10 | Add an express the sum as a mixed fraction: ( frac{101}{6} ) and ( frac{7}{8} ) |
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11 | Express as kilogram (kg) using decimals: ( 150 g ) |
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12 | If ( 1 frac{2}{3}+1 frac{2}{8}=frac{35}{a} ) then, find the value of ( a ) |
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13 | Write 5 equivalent fraction of ( frac{7}{13} ) | 7 |

14 | Write the following rational number in decimal form ( frac{23}{2^{3} cdot 5^{2}} ) | 7 |

15 | solve: ( (i) 6 frac{1}{4} div 1 frac{1}{3} ) (ii) ( 12 div 1 frac{3}{4} ) ( (mathrm{iii}) frac{1}{3} times 2 frac{1}{3} ) |
7 |

16 | The following question is based on simple arithmetic principles. Find the right answer from the given alternatives. ( frac{26}{4}+frac{14}{3}=? ) A. 11.0 в. ( _{10} frac{1}{6} ) c. ( _{11} frac{1}{6} ) D. ( _{12} frac{1}{5} ) E ( cdot 11 frac{2}{3} ) |
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17 | Write the place value of the underlined digit of the following decimal numbers: (i) 82.61 (ii) 5.24 |
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18 | If numerator and denominator of a proper fractions are increased by the same quantity, then the resulting fraction is then A. always greater than the original fraction B. always less than the original fraction c. always equal to the original fraction D. none of these |
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19 | 11. Simplify – X- 23 7 (iv) 8 1 16 1 12 -+ 2 |
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20 | Convert into mixed fractions. (a) ( frac{3}{2} ) ( (b) frac{24}{5} ) |
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21 | An alloy consists of ( 3 frac{1}{2} g m ) of copper and ( 2 frac{3}{4} g m ) of tim. Find the ratio of copper so that of tim in the alloy in the simplest form. | 7 |

22 | Which of the following is a proper fraction? ( A ) B. ( c ) D. All the above |
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23 | Express each of the following without using decimals: ( 3.05 k m ) |
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24 | Simplify: ( 9 frac{5}{10} ) | 7 |

25 | Express as kilogram (kg) using decimals: ( 8 g ) |
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26 | Solve ( frac{mathbf{7}}{mathbf{8}}+frac{mathbf{5}}{mathbf{1 2}} times frac{mathbf{9}}{mathbf{1 0}}-frac{mathbf{1}}{mathbf{4}} ) | 7 |

27 | Express the following as a fraction and simplify: ( mathbf{2 . 4 5} ) A ( cdot frac{49}{20} ) в. ( frac{20}{49} ) c. ( frac{19}{20} ) D. ( frac{20}{19} ) |
7 |

28 | Find the average of ( frac{2}{3}, frac{1}{5} ) | 7 |

29 | Choose the fraction which is equivalent to ( frac{15}{20} ) A ( cdot frac{12}{15} ) B. ( frac{51}{12} ) ( c cdot frac{4}{3} ) D. ( frac{12}{16} ) |
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30 | ( 3 frac{2}{5}=3+—- ) ( A cdot frac{3}{5} ) B. ( c cdot frac{2}{5} ) D. ( _{3} frac{2}{5} ) |
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31 | If ( frac{1}{k}=frac{1}{3}+frac{1}{4} ) then the value of ( K ) is A ( cdot 1 frac{5}{7} ) в. ( 2 frac{5}{7} ) ( mathrm{c} cdot_{3} frac{5}{7} ) D. ( _{4} frac{5}{12} ) |
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32 | Place value chart is extended on side to provide place for fractions. A. Right B. Left c. No D. None |
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33 | Improper fraction of ( 12 frac{1}{6} ) is A ( cdot frac{72}{6} ) в. ( frac{73}{6} ) c. ( frac{108}{6} ) D. ( frac{85}{6} ) |
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34 | Write the following decimals in the place value table. ( mathbf{2 . 0 8} ) |
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35 | Simplify ( 2 frac{2}{7} div 1 frac{4}{11} times 2 frac{4}{9} ) | 7 |

36 | The fractions which have one as the numerator are called fractions. A . like B. unlike c. unit D. none |
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37 | Divide: 5.8 by 100 |
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38 | 9. Raja takes one hour to complete 5 th of his journey. Then, he takes another one hour to com- plete 5th of his journey. He takes 45 minutes of cover the remaining 220 km. Find the to- tal distance of his journey. (1) 550 km (2) 220 km (3) 330 km (4) 440 km |
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39 | 14 2 1. Find ** |
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40 | 8. Simplify: X Opticum |
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41 | Convert the following into fraction. ( 44 % ) A ( cdot frac{11}{44} ) в. ( frac{44}{1000} ) c. ( frac{44}{11} ) D. ( frac{11}{25} ) |
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42 | The above figure represents which of the following fractions? A ( cdot frac{9}{7} ) B. ( 2 frac{1}{2} ) c. ( _{4} frac{1}{2} ) D. ( _{2} frac{1}{4} ) |
7 |

43 | Covert ( frac{2}{3}, frac{5}{7} ) pair of fraction into like fractions? | 7 |

44 | Three-sevenths = ( A cdot frac{3}{17} ) в. ( frac{13}{7} ) ( c cdot frac{3}{7} ) D. one |
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45 | 17. In a certain office, Hain office of the workers are women, of the somen are married and of the married women have children. If of the men are married and of the married men have chil- dren, then what part of workers are without children? |
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46 | Which of the following statement is true ( ? ) A. Fractions with same numerator are called like fractions B. Fractions with same denominator are called unlike fractions C. Difference of two like fractions = ( frac{text {difference of numerators}}{text {common denominator}} ) D. A fraction with numerator greater than or equal to the denominator is called proper fraction |
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47 | Add an express the sum as a mixed fraction: ( frac{-31}{6} ) and ( frac{-27}{8} ) |
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48 | Arrange in ascending order: ( mathbf{2 5 6 . 3 6}, mathbf{2 5 6 . 5 6}, mathbf{2 5 6 . 2 6}, mathbf{2 5 6 . 4 6} ) A . 256.36,256.56,256.26,256.46 B . 256.26,256.56,256.36,256.46 c. 256.36,256.46,256.26,256.56 D. 256.26,256.36,256.46,256.56 |
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49 | Conver the given fractional numbers to percent: ( frac{mathbf{3}}{mathbf{4 0}} ) |
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50 | 0.2008 is equal to A ( cdot frac{252}{1250} ) в. ( frac{251}{1250} ) c. ( frac{250}{1250} ) D. None of these |
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51 | In the number ( 0.257, ) which of the following does the digit 7 represent?? A ( cdot 7 times frac{1}{10} ) в. ( 7 times frac{1}{100} ) c. ( _{7 times frac{1}{1000}} ) D. ( 7 times frac{1}{10000} ) E ( cdot 7 times frac{1}{100000} ) |
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52 | Convert the following into a fraction: ( 0.2 times 0.02 times 0.002 ) A ( cdot frac{1}{125} ) в. ( frac{1}{1250} ) c. ( frac{1}{125000} ) D. None of these |
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53 | Solve: ( frac{x+2}{x-2}=frac{7}{3} ) |
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54 | 0.614 can be represented as A ( cdot frac{61.4}{10} ) в. ( frac{614}{1000} ) c. ( frac{614}{10} ) D. None of the above |
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55 | 0.8 can be represented as ( A cdot frac{8}{10} ) в. ( frac{8}{100} ) c. ( frac{8}{1000} ) D. None of the above |
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56 | Use the digits 11,9,7 to form the smallest and the largest mixed number. Then find their sum giving your answer as a mixed number. A ( cdot 18 frac{8}{9} ) в. ( 20 frac{8}{77} ) c. ( _{18} frac{42}{99} ) D. ( _{19} frac{52}{77} ) |
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57 | The denominator of a fraction is greater than its numerator by ( 12, ) if numerator is decreased by 2 and the denominator is increased by ( 7, ) the new fraction is equivalent with ( frac{1}{2} . ) Find the fractions. |
7 |

58 | Write the place value of 3 in the following decimal numbers. ( mathbf{3 . 4 6} ) |
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59 | Express the following as a rational number i.e. in the form ( frac{a}{b} ; ) where ( a, b in I ) and ( boldsymbol{b} neq mathbf{0} ) ( mathbf{0 . 4 2 5} ) A ( cdot frac{12}{40} ) в. ( frac{19}{40} ) c. ( frac{41}{40} ) D. ( frac{17}{40} ) |
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60 | Write the decimals shown in the following place value table: ( begin{array}{llll}text { Thousands } & text { Hundreds } & text { Tens } \ text { (i) } & & & \ text { (ii) } & 9 & 5 & 4 \ text { (iii) } & & & \ & & & end{array} ) |
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61 | 11. Value of 13-143-13-(2-53] will be (6) 10 13 (©) o (a) |
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62 | Write each of the following decimals in words: ( mathbf{0 . 4 5 9} ) |
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63 | Rename the following percents as decimals. ( mathbf{0 . 0 0 2 %} ) A. 0.02 B. 0.002 c. 0.0002 D. 0.00002 |
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64 | A sum of Rs.3.75 was paid in 25 paisa, 10 paisa and 5 paisa coins.The number of 10 paisa coins was four times the number of 25 paisa coins and twice of the number of 5 paisa coins.How many were there of each type? |
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65 | Express the following as mixed fraction ( frac{17}{7} ) | 7 |

66 | Express the following as improper fractions: ( mathbf{7} frac{mathbf{3}}{mathbf{4}} ) ( mathbf{5} frac{mathbf{6}}{mathbf{7}} ) ( 2 frac{5}{6} ) ( 10 frac{3}{5} ) |
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67 | Ratio of shaded fraction to whole is ( mathbf{A} cdot 1: 2 ) B. 1: 3 ( mathbf{c} cdot 3: 4 ) D. 2: 3 |
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68 | 74. The simplification of (0.63 + 0.37 +0.80) yields the result (1) 1.80 (2) 1.81 (3) 1.79 (4) 1.80 |
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69 | A car covers first ( 100 mathrm{km} ) in ( 2 frac{1}{2} ) hours and then travels at a speed of ( 60 mathrm{km} / mathrm{hr} ) for ( 1 frac{1}{2} ) hours. Find the average speed of the car for the whole journey |
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70 | 53. How long will a train 120 metre long take to clear a platform 130 metre long, if its speed is 54 km/ h? secs secs (1) 15 secs (2) 16 (3) 15. secs (4) 16 secs secs |
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71 | Which fraction shows the part of the circle that is shaded? ( A cdot 2 ) ( overline{9} ) B. ( frac{2}{8} ) ( c cdot 2 ) 7 D. 2 ( G ) |
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72 | Convert into improper fraction: ( 3 frac{2}{5} ) |
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73 | Express 10 months as a fraction of year |
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74 | Convert given percents to decimal fractions and also to fractions in simplest forms: ( mathbf{2 5 %} ) |
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75 | Simplify ( 3 frac{4}{7} times 2 frac{2}{5} times 1 frac{3}{4} ) | 7 |

76 | Express as metres (m) using decimals: ( mathbf{3} boldsymbol{m} mathbf{6 5} boldsymbol{c m} ) |
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77 | Identify the decimal and whole number from the following. ( mathbf{9 8 1 0 1 . 2 9 1} ) |
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78 | In a unit fraction, the numerator is ( mathbf{A} cdot mathbf{0} ) B. ( c cdot 2 ) ( D ) |
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79 | Add an express the sum as a mixed fraction: ( frac{-12}{5} ) and ( frac{43}{10} ) |
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80 | Place value of 9 in 7,92,83,456 ( mathbf{A} ). Ten lakhs B. 9 lakhs c. 90,00,000 D. 90,000 |
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81 | A fraction with denominator ( 3, ) which is less than 1 is ( A cdot frac{4}{3} ) B. ( c cdot 1 frac{2}{3} ) D. None |
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82 | Fraction for 0.012 is: A ( frac{12}{100} ) в. ( frac{12}{10} ) c. ( frac{2}{1000} ) D. ( frac{12}{1000} ) |
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83 | Convert the following into proper fraction: ( 4 frac{3}{5} ) | 7 |

84 | Express each of the following without using decimals: ( mathbf{1 2 . 0 5} boldsymbol{m} ) |
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85 | Convert the given mixed fractions into improper ( 2 frac{1}{5} ) | 7 |

86 | The sum of two numbers is 11 and the sum of their reciprocals is ( frac{11}{28} ) Find the numbers. |
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87 | Express the following as a rational number i.e. in the form ( frac{a}{b} ; ) where ( a, b in I ) and ( boldsymbol{b} neq mathbf{0} ) ( mathbf{0 . 8 6} ) A ( cdot frac{43}{50} ) в. ( frac{13}{50} ) c. ( frac{91}{50} ) D. ( frac{83}{50} ) |
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88 | Convert the given mixed fractions into improper ( 6 frac{1}{10} ) | 7 |

89 | Convert ( frac{22}{17} ) into a mixed number | 7 |

90 | What is the multiplication of the numbers ( 1 frac{1}{3} times 3 frac{1}{4} times frac{7}{8} ? ) A ( cdot 3 frac{18}{24} ) B ( cdot_{2} frac{19}{24} ) c. ( _{3} frac{19}{24} ) D. ( _{2} frac{18}{24} ) |
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91 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( left(frac{boldsymbol{P}^{3 / 2}+boldsymbol{q}^{3 / 2}}{boldsymbol{p}-boldsymbol{q}}-frac{boldsymbol{p}-boldsymbol{q}}{boldsymbol{P}^{1 / 2}+boldsymbol{q}^{1 / 2}}right)left(sqrt{boldsymbol{p} boldsymbol{q}} frac{sqrt{boldsymbol{p}}}{boldsymbol{p}}right. ) |
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92 | Express ( 2 frac{1}{5} ) as a fraction of ( 7 frac{2}{9} ) A ( cdot frac{99}{325} ) в. ( frac{143}{9} ) c. ( frac{67}{200} ) D. ( frac{143}{18} ) |
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93 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( frac{(5 sqrt{3}+sqrt{50})(5-sqrt{24})}{sqrt{75}-5 sqrt{2}} ) |
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94 | Express as kilometre (km) using decimals: ( mathbf{5 5} boldsymbol{m} ) |
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95 | Arrange the following rational numbers in ascending order ( :-frac{7}{8}, frac{36}{-12}, frac{5}{-4}, frac{-2}{3} ) | 7 |

96 | 53. Arrange the following fractions in decreasing order: 5.9 13 .3 7 11 3.7 11 7 3 11 |
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97 | Find the fraction equivalent to 0.5436 and ( 0 . overline{5436} ) | 7 |

98 | 6 12. 1 3 7 -3 Simplify: -+-+- 5 9 -3 +-+- O + |
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99 | A fraction whose numerator is greater than its denominator is fraction. A. an improper B. a proper c. a mixed D. None of these |
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100 | Place of 3 in 30,25,69,214 A. Ten crores B. Millions ( c cdot 3,00,00,000 ) D. 30,00,00,000 |
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101 | Solve ( frac{2}{3}+frac{1}{7} ) | 7 |

102 | Write the following decimals in the place value table. ( mathbf{1 4 8 . 3 2} ) |
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103 | Five eighteenths is equals to A ( cdot frac{15}{18} ) в. ( frac{18}{5} ) c. 5.18 D. ( frac{5}{18} ) |
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104 | Place the decimal point at the correct position in the following products. ( mathbf{6 . 3} times mathbf{5}=mathbf{3 1 5} ) |
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105 | Find two fractions having 7 and 9 for their denominators, and such that their sum is ( 1 frac{10}{63} ) | 7 |

106 | The value of 0.423 is A ( cdot frac{419}{990} ) в. ( frac{423}{1000} ) c. ( frac{419}{999} ) D. ( frac{419}{1000} ) |
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107 | Improper fraction of ( 12 frac{1}{6} ) is ( A cdot frac{72}{6} ) в. ( frac{73}{6} ) c. ( frac{108}{6} ) D. ( frac{85}{6} ) |
7 |

108 | Find the place value of 5 in 17805 | 7 |

109 | What is the place value of 5 in 65.45 | 7 |

110 | Simplify: ( frac{mathbf{2 . 3} times mathbf{2 . 3}}{mathbf{2 . 3} times mathbf{2 . 3 – 2} times mathbf{2 . 3} times mathbf{2 . 3}+mathbf{2 . 3} times mathbf{2 . 3}+} ) ( A ) B. 3.24 c. 1.96 D. 5.29 |
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111 | Simplify: ( frac{1+frac{1}{2}}{1-frac{1}{2}} div frac{4}{7}left(frac{2}{5}+frac{3}{10}right) ) of ( left(frac{frac{1}{2}+frac{1}{3}}{frac{1}{2}-frac{1}{3}}right) ) |
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112 | 15.4.2.8 。 “20*5*= = =? (1) 0 (3) 3 (2) 1 (4) 5 |
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113 | Convert ( 3 frac{5}{6} ) into an improper fraction. | 7 |

114 | ( 5 frac{2}{3}= ) A ( cdot frac{13}{3} ) B. 30 c. ( frac{17}{3} ) D. 10 |
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115 | Subtract : ( frac{2}{7} ) from ( frac{19}{21} ) |
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116 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( frac{2 sqrt{b}}{sqrt{a}+sqrt{b}}+ ) [ left(frac{a^{3 / 2}+b^{3 / 2}}{sqrt{a}+sqrt{b}}-frac{1}{(a b)^{-1 / 2}}right)(a-b)^{-1} ] |
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117 | ( 46.2 times 10^{-2}= ) A . 0.0462 B. 0.462 c. 4.62 D. 462 |
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118 | ( frac{3 frac{1}{4}-frac{4}{5} o f frac{5}{6}}{4 frac{1}{3} div frac{1}{5}-left(frac{3}{10}+21 frac{1}{5}right)} ) ( left(1 frac{2}{3} o f 1 frac{1}{2}right) ) is equal to: ( A cdot 9 ) B ( cdot 11 frac{1}{2} ) c. 13 D. ( 15 frac{1}{2} ) |
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119 | Identify the decimal and whole number from the following. ( mathbf{9 9 9 9 9 . 9 9} ) |
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120 | ( $ $ 0.08= ) ( mathbf{A} cdot 0.80 ) B . 0.800 c. 0.080 D. 0.8 |
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121 | Fill in the boxes with the symbols ” to make the given statements true: ( frac{5}{11} square frac{3}{7} ) ( frac{8}{15} square frac{3}{5} ) ( frac{11}{14} square frac{29}{35} ) ( frac{13}{27} square frac{15}{48} ) |
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122 | 75. The value of 1 17 17 is : + 2. 1 3+ E Sloga @ (431 (4) 1 |
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123 | Find the place value of 4 in 543.67 A. 4000 B. 400 ( c cdot 40 ) D. 4 |
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124 | Place value of 9 in 7,92,83,456 ( mathbf{A} cdot 9,000 ) B. 9 c. 90,00,000 D. 90,000 |
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125 | Write the following decimals in the place value table. ( mathbf{1 9 . 6 0} ) |
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126 | Example for a proper fraction is A ( cdot frac{28}{13} ) в. ( frac{11}{23} ) ( c cdot frac{16}{9} ) D. ( frac{14}{3} ) |
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127 | Convert the following improper fraction into mixed fraction. ( frac{11}{2} ) |
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128 | If in mixed fraction form ( frac{19}{6} ) is equal to ( 3 frac{x}{6}, ) then what is the value of ( x ? ) | 7 |

129 | Place the decimal point at the correct position in the following products. ( 16 times 2.47=3952 ) | 7 |

130 | Numerator in the fraction ( frac{4}{7} ) is A . 4 B. 7 ( c cdot frac{4}{7} ) D. |
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131 | The grid below is shaded to represent fraction. What fraction of the grid is shaded? A ( cdot frac{1}{20} ) B. 1 5 ( c cdot frac{1}{4} ) D. 1 |
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132 | The denominator of fraction is 6 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes ( 1 / 2 . ) Find the fraction. A . ( 2 / 5 ) в. ( 4 / 6 ) c. ( 6 / 10 ) D. ( 1 / 5 ) |
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133 | Write the number of decimal place in ( mathbf{7 . 0 0 3 4 9} ) |
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134 | ( 4 frac{1}{2}+2 frac{5}{7} times frac{7}{19}-frac{7}{19} div 2 ) | 7 |

135 | Which of the following is not a proper fraction? ( A cdot frac{2}{3} ) B. ( _{4} ) ( c cdot frac{5}{7} ) D. ( frac{6}{5} ) |
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136 | 56. A person travels 600 km by train at 80km/hr, 800 km by ship at 40 km/hr. 500 km by aeroplane at 400 km/hr and 100 km by car at 50km/hr. What is the average speed for the entire distance ? (1) 65 km./hr. (2) 60 km./hr. (3) 60 35 km./hr. (4) 62 km./hr. |
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137 | -4 3 1. Find –X-X- 5 7 16 X |
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138 | In improper fraction the numerator is always the denominator A. less than B. greater than c. equal to D. none |
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139 | Identify the decimal and whole number from the following ( mathbf{2 2 5 3 . 1 0 6} ) |
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140 | Convert the given fractional numbers to percent ( frac{2}{7} ) |
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141 | Express as kilogram (kg) using decimals: ( 2750 g ) |
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142 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( left(frac{a^{1 / 2}+2}{a+2 a^{1 / 2}+1}-frac{a^{1 / 2}-2}{a-1}right) cdot frac{a^{1 / 2}+1}{a^{1 / 2}} ) |
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143 | Write the following decimals in the place value table. ( mathbf{2 0 0 . 8 1 2} ) |
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144 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( 2(a+ ) ( b)^{-1}(a b)^{1 / 2}left(1+frac{1}{4}(sqrt{frac{a}{b}}-sqrt{frac{b}{a}})^{2}right)^{1 / 2} ) |
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145 | Find to five places of decimals the value of : ( sqrt[3]{1003} ) |
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146 | Write the additive inverse of each of ( frac{2}{8} ) and ( frac{-5}{9} ) | 7 |

147 | Saritha bought ( frac{2}{5} ) metre of ribbon and Lalita ( frac{3}{4} ) metre of ribbon.What is the total length of the ribbon they bought? | 7 |

148 | Convert into improper fractions. ( 4 frac{5}{6} ) | 7 |

149 | 51. Find the value of +999 494×99 (1) 90000 (2) 99000 (3) 90900 (4) 99990 |
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150 | 25 students can do a job in 12 days, but on the starting day, five of them informed thet they are not coming. By what fraction will the number of days required for doing the whole work get increased? A ( cdot frac{3}{5} ) B. ( frac{3}{7} ) ( c cdot frac{3}{4} ) D. |
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151 | 0.43 is rational and it can be written as A ( cdot frac{43}{100} ) в. ( frac{43}{10} ) ( c cdot frac{4}{3} ) D. ( frac{34}{10} ) |
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152 | If the value of ( 1 frac{2}{3}+2 frac{4}{5}=frac{x}{y} ) then find ( boldsymbol{x}+boldsymbol{y} ) |
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153 | Find | 7 |

154 | Express the following as a rational number i.e. in the form ( frac{a}{b} ; ) where ( a, b in I ) and ( boldsymbol{b} neq mathbf{0} ) ( mathbf{0 . 7} overline{mathbf{1}} ) A ( cdot frac{22}{45} ) в. ( frac{32}{45} ) c. ( frac{16}{45} ) D. ( frac{19}{45} ) |
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155 | Write the place value of 3 in the following decimal numbers. ( mathbf{3 2 . 4 6} ) |
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156 | Improper fraction of ( 12 frac{1}{6} ) is ( A cdot frac{72}{6} ) в. ( frac{73}{6} ) c. ( frac{108}{6} ) D. ( frac{85}{6} ) |
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157 | A quantity which expresses a part of the whole is called a/an A. Fraction B. Prime number c. Integer D. None of these |
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158 | Compare the fractions. ( frac{1}{3} square frac{7}{8} ) | 7 |

159 | Find the difference of : ( frac{1}{12} ) and ( frac{3}{4} ) |
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160 | Simplify: ( frac{3}{17} div frac{8}{17} times frac{2}{3}+left(-frac{2}{7}right) times frac{35}{33} div ) ( left(-frac{7}{11}right) ) |
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161 | f ( x ) is a proper fraction, show that ( frac{boldsymbol{x}}{mathbf{1}-boldsymbol{x}^{2}}-frac{boldsymbol{x}^{mathbf{3}}}{mathbf{1 – x}^{mathbf{6}}}+frac{boldsymbol{x}^{mathbf{5}}}{mathbf{1 – x}^{mathbf{1 0}}}-dots dots ) ( frac{boldsymbol{x}}{mathbf{1}+boldsymbol{x}^{2}}+frac{boldsymbol{x}^{mathbf{3}}}{mathbf{1}+boldsymbol{x}^{mathbf{6}}}+frac{boldsymbol{x}^{mathbf{5}}}{mathbf{1}+boldsymbol{x}^{mathbf{1 0}}}+dots ) |
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162 | 0.34 can be represented as A ( cdot frac{34}{100} ) в. ( frac{34}{1000} ) ( c cdot frac{34}{10} ) D. None of the above |
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163 | 51. Arrangement of the fractions into ascending O order is col olor cola 5/or |
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164 | ( frac{4}{5} div frac{7}{15} ) of ( frac{8}{9} ) | 7 |

165 | Convert given percents to decimal fractions and also to fractions in simplest forms: ( mathbf{2 0 %} ) |
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166 | Express as centimeter (cm) using decimals: ( 4 mathrm{cm} 5 mathrm{mm} ) |
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167 | Fraction for 0.004 is: A ( cdot frac{4}{10000} ) В. ( frac{4}{1000} ) c. ( frac{4}{100} ) D. ( frac{4}{10} ) |
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168 | ( 2 frac{3}{11}+1 frac{3}{77} ) | 7 |

169 | Express each of the following without using decimals: ( 8.354 k g ) |
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170 | Convert 0.55 in to a fraction. A ( cdot frac{11}{20} ) в. ( frac{2}{9} ) ( c cdot frac{3}{9} ) D. ( frac{4}{9} ) |
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171 | 192 The standard form of -168 |
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172 | Convert given percents to decimal fractions and also to fractions in simplest forms: ( mathbf{1 5 0 %} ) |
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173 | Which of the following is an improper fraction? A ( cdot frac{15}{1} ) B. ( frac{1}{3} ) ( c cdot frac{2}{3} ) D. none of the above |
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174 | Express as centimeter (cm) using decimals: 175 mm |
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175 | Express each of the following without using decimals: ( mathbf{3 . 5} mathrm{cm} ) |
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176 | Convert 0.25 into fraction. A ( cdot frac{3}{4} ) B. ( frac{1}{2} ) ( c cdot frac{1}{4} ) D. none of the above |
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177 | Express the following as a rational number i.e. in the form ( frac{a}{b} ; ) where ( a, b in I ) and ( boldsymbol{b} neq mathbf{0} ) ( 0.81 overline{3} ) A ( cdot frac{11}{75} ) в. ( frac{61}{75} ) c. ( frac{51}{75} ) D. ( frac{31}{75} ) |
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178 | 73. The value of is: 35. 21 (1) 2 |
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179 | If arranged order in ascending which number is in second place? 1234.456,5623.564,2563.965,9856.36 A. 1234.456 B . 5623.564 c. 2563.965 D. 9856.365 |
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180 | Represent the following mixed infinite decimal periodic fractions as common fractions: Simplify the following expressions. ( left(left(frac{y}{y-x}right)^{-2}-frac{(x+y)^{2}-4 x y}{x^{2}-x y}right) frac{x}{x^{2} y^{2}} ) |
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181 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( left(frac{sqrt{a}}{2}-frac{1}{2 sqrt{a}}right)^{2}left(frac{sqrt{a}-1}{sqrt{a}+1}-frac{sqrt{a}+1}{sqrt{a}-1}right) ) |
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182 | What fraction of the candles on the cake is lit? ( A cdot frac{4}{7} ) B. ( frac{4}{3} ) ( c cdot 3 ) 7 ( D cdot frac{1}{1} ) 4 |
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183 | A badminton player won 6 games and lost 4.The fraction of the games he won is ( A cdot frac{6}{4} ) B. ( frac{4}{6} ) ( c cdot frac{6}{10} ) D. ( frac{5}{10} ) |
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184 | Which of the following is a proper fraction? A ( cdot 1 frac{1}{3} ) B. ( frac{5}{4} ) ( c cdot frac{2}{3} ) D. None of these |
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185 | In the product ( B A times B 3=57 A ), what are the respective positional values of ( mathrm{B} ) and A? ( A cdot 6,7 ) B. 5, 2 ( c cdot 7,4 ) D. 2, 5 |
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186 | 14. Ravi has spent a qua his life as a boy, one-fifth (5) as ayouth, one-third (3) as man and thirteen (13) years in old age. What is his present age? (1) 70 years (2) 80 years (3) 60 years (4) 65 years |
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187 | Write the following decimals in the place value table. ( mathbf{0 . 2 9} ) |
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188 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( left(frac{3}{sqrt{1+a}}+sqrt{1-a}right):left(frac{3}{sqrt{1-a^{2}}}+1right) ) |
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189 | Write the number of decimal place in ( mathbf{8 2 3 5 . 4 0 3} ) |
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190 | Divide: 459.5 by 100 |
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191 | Find the square root of 2 correct to two places of decimal. |
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192 | Find the equivalent fraction of ( frac{36}{48} ) with numerator 9 A ( cdot frac{36}{9} ) B. ( frac{9}{12} ) ( c cdot frac{9}{48} ) D. 9 |
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193 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( left(frac{1}{a-sqrt{2}}-frac{a^{2}+4}{a^{3}-sqrt{8}}right) ) ( left(frac{a}{sqrt{2}}+1+frac{sqrt{2}}{a}right)^{-1} ) |
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194 | Which 3 has greater place value 64.363 ( ? ) A. 3 at one tenth place. B. 3 at one hundredth plcae c. both have equal D. can not say |
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195 | Rename the following percents as decimals. ( 62.9 % ) A . 6.29 B. 0.629 c. 0.0629 D. 0.00629 |
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196 | Express as kilometre (km) using decimals: ( 15 k m 35 m ) |
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197 | Rafiq exercised for ( frac{3}{6} ) of an hour, while Rohit exercised for ( frac{3}{4} ) of an hour.Who exercised for a longer time? | 7 |

198 | ( 2 . overline{8768} ) expressed as a rational number is A ( cdot_{2} frac{878}{999} ) в. ( 2_{10}^{9} ) c. ( 2 frac{292}{333} ) D. ( _{2} frac{4394}{4995} ) |
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199 | Which of the following is not an improper fraction? ( A cdot frac{4}{3} ) B. ( frac{3}{2} ) ( c cdot frac{5}{3} ) D. ( frac{7}{11} ) |
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200 | ( frac{0.25}{0.4} ) is equal to This question has multiple correct options ( mathbf{A} cdot frac{5}{8} ) B. ( frac{25}{40} ) c. ( frac{16}{19} ) D. None of the above |
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201 | Correct to two places of decimal | 7 |

202 | Write each of the following decimals in words: ( mathbf{9 . 0 0 4} ) |
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203 | Convert ( 3 frac{920}{1331} ) into improper fraction | 7 |

204 | Represent the following mixed infinite decimal periodic fractions as common fractions: ( frac{b-x}{sqrt{b}-sqrt{x}}-frac{b^{3 / 2}-x^{3 / 2}}{b-x} ) |
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205 | Convert the following improper fraction into mixed fraction. ( frac{27}{4} ) |
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206 | The place value of 7 in 17.5 is A. tens B. units c. one-tenth D. one-hundredths |
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207 | Express the following as a fraction and simplify: ( mathbf{0 . 0 0 8} ) A ( cdot frac{1}{25} ) в. ( frac{1}{125} ) c. ( frac{2}{25} ) D. ( frac{4}{125} ) |
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208 | Express as kilogram (kg) using decimals: ( 5 k g 750 g ) |
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209 | Evaluate the following: ( 0.8 times frac{frac{7}{12}}{frac{5}{24}} ) A ( cdot_{2} frac{6}{25} ) в. ( _{3} frac{6}{25} ) c. ( frac{6}{25} ) D. ( frac{26}{25} ) |
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210 | Rationalise the denominator of ( frac{mathbf{5}}{sqrt{mathbf{3}}-sqrt{mathbf{5}}} ) |
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211 | Express as kilometre (km) using decimals: ( 5 m ) |
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212 | The place value of 2 in the number ( mathbf{1 5 . 5 2 6} ) is A . 20 B. 2 ( c cdot frac{2}{10} ) D. ( frac{2}{100} ) |
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213 | Javed was given ( frac{5}{7} ) of a basket of oranges.What fraction of oranges was left in the basket? |
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214 | Which of the following is not a proper fraction? A ( cdot frac{2}{3} ) B. ( frac{3}{4} ) ( c cdot frac{5}{7} ) D. ( frac{6}{5} ) |
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215 | Write the fraction whose numerator is one and equivalent to ( frac{mathbf{9}}{mathbf{3 6}} ) ? | 7 |

216 | Write the place value of 2 in the following decimal numbers: ( mathbf{9 . 4 2} ) |
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