Fractions And Decimals Questions

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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
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 )		 7
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} )		 7
7 Express each of the following without using decimals:
( boldsymbol{R} boldsymbol{s} . mathbf{5} . mathbf{2 5} )		 7
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		 7
10 Add an express the sum as a mixed
fraction:
( frac{101}{6} ) and ( frac{7}{8} )		 7
11 Express as kilogram (kg) using decimals:
( 150 g )		 7
12 If ( 1 frac{2}{3}+1 frac{2}{8}=frac{35}{a} ) then, find the value of
( a )		 7
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} )		 7
17 Write the place value of the underlined digit of the following decimal numbers:
(i) 82.61
(ii) 5.24		 7
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		 7
19 11. Simplify
–
X-
23
7
(iv) 8
1
16
1
12
-+
2 		7
20 Convert into mixed fractions.
(a) ( frac{3}{2} )
( (b) frac{24}{5} )		 7
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		 7
23 Express each of the following without using decimals:
( 3.05 k m )		 7
24 Simplify: ( 9 frac{5}{10} ) 7
25 Express as kilogram (kg) using decimals:
( 8 g )		 7
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} )		 7
30 ( 3 frac{2}{5}=3+—- )
( A cdot frac{3}{5} )
B.
( c cdot frac{2}{5} )
D. ( _{3} frac{2}{5} )		 7
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} )		 7
32 Place value chart is extended on
side to provide place for fractions.
A. Right
B. Left
c. No
D. None		 7
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} )		 7
34 Write the following decimals in the place value table.
( mathbf{2 . 0 8} )		 7
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		 7
37 Divide:
5.8 by 100		 7
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 		7
39 14
2
1.
Find ** 		7
40 8.
Simplify:
X
Opticum 		7
41 Convert the following into fraction.
( 44 % )
A ( cdot frac{11}{44} )
в. ( frac{44}{1000} )
c. ( frac{44}{11} )
D. ( frac{11}{25} )		 7
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		 7
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? 		7
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		 7
47 Add an express the sum as a mixed
fraction:
( frac{-31}{6} ) and ( frac{-27}{8} )		 7
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		 7
49 Conver the given fractional numbers to
percent:
( frac{mathbf{3}}{mathbf{4 0}} )		 7
50 0.2008 is equal to
A ( cdot frac{252}{1250} )
в. ( frac{251}{1250} )
c. ( frac{250}{1250} )
D. None of these		 7
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} )		 7
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		 7
53 Solve:
( frac{x+2}{x-2}=frac{7}{3} )		 7
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		 7
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		 7
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} )		 7
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} )		 7
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} )		 7
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} )		 7
61 11. Value of 13-143-13-(2-53] will be
(6) 10 13
(©) o (a) 		7
62 Write each of the following decimals in
words:
( mathbf{0 . 4 5 9} )		 7
63 Rename the following percents as decimals.
( mathbf{0 . 0 0 2 %} )
A. 0.02
B. 0.002
c. 0.0002
D. 0.00002		 7
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?		 7
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} )		 7
67 Ratio of shaded fraction to whole is
( mathbf{A} cdot 1: 2 )
B. 1: 3
( mathbf{c} cdot 3: 4 )
D. 2: 3		 7
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 		7
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		 7
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 		7
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 )		 7
72 Convert into improper fraction:
( 3 frac{2}{5} )		 7
73 Express 10 months as a fraction of
year		 7
74 Convert given percents to decimal fractions and also to fractions in
simplest forms:
( mathbf{2 5 %} )		 7
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} )		 7
77 Identify the decimal and whole number
from the following.
( mathbf{9 8 1 0 1 . 2 9 1} )		 7
78 In a unit fraction, the numerator is
( mathbf{A} cdot mathbf{0} )
B.
( c cdot 2 )
( D )		 7
79 Add an express the sum as a mixed
fraction:
( frac{-12}{5} ) and ( frac{43}{10} )		 7
80 Place value of 9 in 7,92,83,456
( mathbf{A} ). Ten lakhs
B. 9 lakhs
c. 90,00,000
D. 90,000		 7
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		 7
82 Fraction for 0.012 is:
A ( frac{12}{100} )
в. ( frac{12}{10} )
c. ( frac{2}{1000} )
D. ( frac{12}{1000} )		 7
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} )		 7
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.		 7
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} )		 7
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} )		 7
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. )		 7
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} )		 7
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}} )		 7
94 Express as kilometre (km) using decimals:
( mathbf{5 5} boldsymbol{m} )		 7
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 		7
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
+ 		7
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		 7
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		 7
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} )		 7
103 Five eighteenths is equals to
A ( cdot frac{15}{18} )
в. ( frac{18}{5} )
c. 5.18
D. ( frac{5}{18} )		 7
104 Place the decimal point at the correct position in the following products.
( mathbf{6 . 3} times mathbf{5}=mathbf{3 1 5} )		 7
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} )		 7
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		 7
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) )		 7
112 15.4.2.8 。
“20*5*=
= =?
(1) 0
(3) 3
(2) 1
(4) 5 		7
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		 7
115 Subtract :
( frac{2}{7} ) from ( frac{19}{21} )		 7
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}
]		 7
117 ( 46.2 times 10^{-2}= )
A . 0.0462
B. 0.462
c. 4.62
D. 462		 7
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} )		 7
119 Identify the decimal and whole number
from the following.
( mathbf{9 9 9 9 9 . 9 9} )		 7
120 ( $ $ 0.08= )
( mathbf{A} cdot 0.80 )
B . 0.800
c. 0.080
D. 0.8		 7
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} )		 7
122 75. The value of
1
17
17 is :
+
2.
1
3+
E
Sloga
@
(431
(4) 1 		7
123 Find the place value of 4 in 543.67
A. 4000
B. 400
( c cdot 40 )
D. 4		 7
124 Place value of 9 in 7,92,83,456
( mathbf{A} cdot 9,000 )
B. 9
c. 90,00,000
D. 90,000		 7
125 Write the following decimals in the place value table.
( mathbf{1 9 . 6 0} )		 7
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} )		 7
127 Convert the following improper fraction into mixed fraction.
( frac{11}{2} )		 7
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.		 7
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		 7
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 )		 7
133 Write the number of decimal place in
( mathbf{7 . 0 0 3 4 9} )		 7
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} )		 7
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. 		7
137 -4 3 1.
Find –X-X-
5 7 16
X 		7
138 In improper fraction the numerator is
always the denominator
A. less than
B. greater than
c. equal to
D. none		 7
139 Identify the decimal and whole number from the following
( mathbf{2 2 5 3 . 1 0 6} )		 7
140 Convert the given fractional numbers to
percent
( frac{2}{7} )		 7
141 Express as kilogram (kg) using decimals:
( 2750 g )		 7
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}} )		 7
143 Write the following decimals in the place value table.
( mathbf{2 0 0 . 8 1 2} )		 7
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} )		 7
145 Find to five places of decimals the value
of :
( sqrt[3]{1003} )		 7
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 		7
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.		 7
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} )		 7
152 If the value of ( 1 frac{2}{3}+2 frac{4}{5}=frac{x}{y} ) then find
( boldsymbol{x}+boldsymbol{y} )		 7
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} )		 7
155 Write the place value of 3 in the following decimal numbers.
( mathbf{3 2 . 4 6} )		 7
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} )		 7
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		 7
158 Compare the fractions. ( frac{1}{3} square frac{7}{8} ) 7
159 Find the difference of :
( frac{1}{12} ) and ( frac{3}{4} )		 7
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) )		 7
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 )		 7
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		 7
163 51. Arrangement of the fractions
into ascending
O
order is
col
olor
cola
5/or 		7
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 %} )		 7
166 Express as centimeter (cm) using
decimals:
( 4 mathrm{cm} 5 mathrm{mm} )		 7
167 Fraction for 0.004 is:
A ( cdot frac{4}{10000} )
В. ( frac{4}{1000} )
c. ( frac{4}{100} )
D. ( frac{4}{10} )		 7
168 ( 2 frac{3}{11}+1 frac{3}{77} ) 7
169 Express each of the following without using decimals:
( 8.354 k g )		 7
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} )		 7
171 192
The standard form of
-168 		7
172 Convert given percents to decimal fractions and also to fractions in
simplest forms:
( mathbf{1 5 0 %} )		 7
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		 7
174 Express as centimeter (cm) using
decimals:
175 mm		 7
175 Express each of the following without using decimals:
( mathbf{3 . 5} mathrm{cm} )		 7
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		 7
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} )		 7
178 73. The value of
is:
35.
21
(1) 2 		7
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		 7
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}} )		 7
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) )		 7
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		 7
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} )		 7
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		 7
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		 7
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 		7
187 Write the following decimals in the place value table.
( mathbf{0 . 2 9} )		 7
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) )		 7
189 Write the number of decimal place in
( mathbf{8 2 3 5 . 4 0 3} )		 7
190 Divide:
459.5 by 100		 7
191 Find the square root of 2 correct to two
places of decimal.		 7
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		 7
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} )		 7
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		 7
195 Rename the following percents as decimals.
( 62.9 % )
A . 6.29
B. 0.629
c. 0.0629
D. 0.00629		 7
196 Express as kilometre (km) using decimals:
( 15 k m 35 m )		 7
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} )		 7
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} )		 7
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		 7
201 Correct to two places of decimal 7
202 Write each of the following decimals in
words:
( mathbf{9 . 0 0 4} )		 7
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} )		 7
205 Convert the following improper fraction into mixed fraction.
( frac{27}{4} )		 7
206 The place value of 7 in 17.5 is
A. tens
B. units
c. one-tenth
D. one-hundredths		 7
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} )		 7
208 Express as kilogram (kg) using decimals:
( 5 k g 750 g )		 7
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} )		 7
210 Rationalise the denominator of
( frac{mathbf{5}}{sqrt{mathbf{3}}-sqrt{mathbf{5}}} )		 7
211 Express as kilometre (km) using decimals:
( 5 m )		 7
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} )		 7
213 Javed was given ( frac{5}{7} ) of a basket of oranges.What fraction of oranges was
left in the basket?		 7
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} )		 7
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} )		 7

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