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Published on: 24/10/2025
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1.
Mr. Kumar spent \(\frac { 1 }{ 8 } \) of his salary on food,\(\frac { 3 }{ 8 } \) of his salary on house, \(\frac { 1 }{ 4 } \)of his salary on car. What fraction of his money was kept for savings?
2.
Add with the help of a diagram \(\frac { 1 }{ 8 } +\frac { 1 }{ 8 } \)
3.
Sohan was putting covers on his notebooks. He put one-fourth of the covers on Monday. He put another one-fourth on Tuesday and the remaining on Wednesday. What fraction of the covers did he put on Wednesday?
4.
Choose the greatest fraction \(\frac { 2 }{ 3 } ,\frac { 9 }{ 27 } ,\frac { 3 }{ 8 } ,\frac { 6 }{ 24 } \)
5.
Mehak used \(\frac { 3 }{ 6 } \)of a chalk.Dimple used \(\frac { 1 }{ 3 } \) of the chalk. Who used more of the chalk among both of them?
6.
Convert the following into like fractions \(\frac { 4 }{ 7 } ,\frac { 5 }{ 9 } ,\frac { 2 }{ 3 } \)
7.
Express the following as mixed fractions \(\frac { 20 }{ 3 } \)
8.
Determine \(\frac { 3 }{ 4 } \)of 20 pens
9.
Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
10.
What fraction of a day is 8 hours?
11.
Write the fraction representing the shaded portion.
12.
Write the fraction representing the shaded portion.
13.
Which of the following pairs of fractions are equivalent?
\(\frac { 1 }{ 2 } ,\frac { 2 }{ 4 } \)
\(\frac { 1 }{ 3 } ,\frac { 3 }{ 7 } \)
\(\frac { 2 }{ 5 } ,\frac { 4 }{ 9 } \)
\(\frac { 4 }{ 7 } ,\frac { 8 }{ 13 } \)
14.
Express the mixed fraction \(2\frac { 3 }{ 4 } \) as an improper fraction.
\(\frac { 11 }{ 4 } \)
\(\frac { 4 }{ 11 } \)
\(\frac { 9 }{ 11 } \)
\(\frac { 7 }{ 11 } \)
15.
Which of the following is an improper fraction?
\(\frac { 1 }{ 4 } \)
\(\frac { 3 }{ 8 } \)
\(\frac { 11 }{ 3 } \)
\(\frac { 2 }{ 5 } \)
16.
The fraction representing the shaded portion
is
\(\frac { 1 }{ 4 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 3 }{ 4 } \)
none of these
17.
The fraction representing the shaded portion
is
\(\frac { 1 }{ 4 } \)
\(\frac { 3 }{ 4 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 8 } \)
18.
When \(\frac{1}{4}\) is written with denominator as 12, its numerator is
3
8
24
12
19.
Which of the following fraction is smallest?
\(\frac{16}{23}\)
\(\frac{17}{23}\)
\(\frac{9}{23}\)
\(\frac{11}{23}\)
20.
On subtracting \(\frac{6}{13}\) from \(\frac{11}{13}\) the result is
5/13
2/13
3/13
8/13
21.
Sum of \(\frac{4}{17}\) and \(\frac{15}{17}\) is
\(2\frac{1}{17}\)
\(1\frac{2}{17}\)
\(3\frac{1}{17}\)
\(3\frac{2}{17}\)
22.
The fraction which is not equal to \(\frac{4}{5}\) is
\(\frac{40}{50}\)
\(\frac{12}{15}\)
\(\frac{16}{20}\)
\(\frac{9}{15}\)
23.
\(\frac{7}{9}\)and \(\frac{5}{9}\) are _______ proper fractions
24.
Fractions with the same denominators are called _____ fractions
25.
A fraction with numerator greater than the denominator is called an ______ fraction.
26.
Ali divided one fruit cake equally among six persons. The part of the cake he gave to each person is \(\frac{1}{6}\)
27.
The simplest form of \(\frac{24}{50}\) is \(\frac{12}{25}\)
28.
The value of \(\frac{19}{23}-\frac{7}{23} \) is \(\frac{12}{23}\)
29.
Sum of \(\frac{5}{12}\) and \(\frac{7}{12} \) is \(1\frac{7}{12}\)
30.
The fraction represented by the shaded portion in the following figure is \(\frac{3}{8}\)
31.
Sum of two fractions is always a fraction.
1.
\(\frac { 1 }{ 4 } \)
2.
Here, draw two rectangles and divide them into 8 equal parts out of which 1 part is shaded. On adding them, we get 2 parts shaded out of 8 equal parts. Thus,
i.e \(\frac { 1 }{ 8 } +\frac { 1 }{ 8 } =\frac { 1+1 }{ 8 } =\frac { 2 }{ 8 } =\frac { 1 }{ 4 } \)
3.
Covers putting by Sohan on Monday = 1/ 4
Covers putting by him on Tuesday = 1/4
∴ Covers putting by him on Wednesday
=1-\(\frac { 1 }{ 4 } -\frac { 1 }{ 4 } =\frac { 4 }{ 4 } -\frac { 1 }{ 4 } -\frac { 1 }{ 4 } \) [∵ 1 and 4/4 are equivalent fractions]
= \(\frac { 4-1-1 }{ 4 } =\frac { 2 }{ 4 } =\frac { 1 }{ 4 } \)
Hence he put one-half of the covers on Wednesday
4.
\(\frac { 2 }{ 3 } \)
5.
Mehak
6.
\(\frac { 36 }{ 63 } ,\frac { 35 }{ 63 } ,\frac { 42 }{ 63 } \)
7.
We have, \({20\over 3}\)
On dividing 20 by 3, we get quotient = 6 remainder =2
∴ \(\frac { 20 }{ 3 } =6\frac { 2 }{ 3 } \) i.e 6 whole and\(\frac { 2 }{ 3 } \)more
8.
15
9.
Natural numbers from 2 to 12 = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
Total natural numbers - 11
Prime numbers from 2 to 12 = 2, 3, 5,7, 11
∴ Required fraction = \(\frac { Total\ prime\ numbers }{ Total\ natural\ numbers } =\frac { 5 }{ 11 } \)
10.
We know that, total hours in a day = 24 h
∴ Required field fraction = \(\frac { 8h }{ 24h } =\frac { 8 }{ 24 } \)
11.
Total number of equal parts = 7; Shaded parts = 3
∴ Fraction representing the shaded portion = \(\frac { 3 }{ 7 } \)
12.
Total number of equal parts = 9; Shaded parts = 8
∴ Fraction representing the shaded portion = \(\frac { 8 }{ 9 } \)
13.
(a)
\(\frac { 1 }{ 2 } ,\frac { 2 }{ 4 } \)
14.
(a)
\(\frac { 11 }{ 4 } \)
15.
(c)
\(\frac { 11 }{ 3 } \)
16.
(c)
\(\frac { 3 }{ 4 } \)
17.
(a)
\(\frac { 1 }{ 4 } \)
18.
(a)
3
19.
(c)
\(\frac{9}{23}\)
20.
(a)
5/13
21.
(b)
\(1\frac{2}{17}\)
22.
(d)
\(\frac{9}{15}\)
23.
( )
Here,\(\frac{7}{9}\) and \(\frac{5}{9}\) have same denominators, so they are like proper fractions.
24.
( )
Fractions having same denominators are called like fractions.
25.
( )
A fraction which has denominator greater than numerator is called an improper fraction.
26.
(a)
27.
(a)
28.
(a)
29.
(b)
30.
(a)
31.
(b)
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