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Published on: 24/10/2025
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1.
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?
2.
Ritesh cuts a pizza into 12 pieces and distributes 7 out of it to his friends while Jitesh cuts another pizza into 8 piece and distributes 5 out of it to his friends. Who distributed more part of the pizza to his friends?
3.
A triangle is divided into 4 equal parts and 3 out of it are painted red, whereas a square is divided into 8 equal parts and 7 out of them are painted red. Which of the shaded part represents a bigger fraction?
4.
In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class, was a greater fraction of students getting first class?
5.
What fraction represents the unshaded portion?
6.
If 11 out of 15 white balls are coloured red, then what fraction of balls are colored white?
7.
Megha has Rs. 10, out of which she decides to lend Rs. 7 to her friend. Write the fraction to denote the amount left with her?
8.
How is 8 out of 11 parts written as?
9.
Write the numerator of \(\frac { 7 }{ 10 } \)
10.
What fraction of figure is shaded?
11.
Determine \(\frac { 5 }{ 7 } \)of 42 books
12.
Determine \(\frac { 3 }{ 4 } \)of 20 pens
13.
What fraction of an hour is 10 min?
14.
Write down the fraction in which numerator = 5, denominator = 13
15.
Write down the fraction in which numerator = 3, denominator = 7
16.
What fraction of these circles have X in them?
17.
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
18.
Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
19.
Kanchan dyes dresses. She had to dye 30 dresses She has so far finished 20 dresses. What fraction of dresses has she finished?
20.
What fraction of an hour is 40 minutes?
21.
What fraction of a day is 8 hours?
22.
Write the fraction representing the shaded portion.
23.
Write the fraction representing the shaded portion.
24.
What fraction of a day is 15 hours?
25.
Write the fraction representing the shaded portion
1.
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
2.
Jitesh
3.
Painted part of square
4.
Fraction of students, who got first class in class A
= \(\frac { 24 }{ 30 } =\frac { 24\div 5 }{ 25\div 5 } =\frac { 4 }{ 5 } \) [∵ HCF of 20 and 25 = 5]
Fraction of students, who got first class in class B
= \(\frac { 24 }{ 30 } =\frac { 24\div 6 }{ 30\div 6 } =\frac { 4 }{ 5 } \) [∵ HCF of 24 and 30 = 6]
∵ \(\frac { 20 }{ 25 } =\frac { 24 }{ 30 } =\frac { 4 }{ 5 } \)
So, it is clear that an equal number of students got first class in both the classes.
5.
\(\frac { 2 }{ 8 } \)
6.
\(\frac { 4 }{ 15 } \)
7.
\(\frac { 3 }{ 10 } \)
8.
\(\frac { 8 }{ 11 } \)
9.
7
10.
\(\frac { 1 }{ 2 } \)
11.
30
12.
15
13.
\(\frac { 1 }{ 6 } \)
14.
\(\frac { 5 }{ 3 } \)
15.
\(\frac { 3 }{ 7 } \)
16.
Totalnumber of circles= 8; Number of circles having X = 4
∴ Required fraction = \(\frac { Number\ of\ circles\ having\ X }{ Total\ number\ of\ circles } =\frac { 4 }{ 8 } =\frac { 1 }{ 2 } \)
17.
Natural numbers from 102 to 113 = 102, 103, 104, 105, 106,107, 108, 109, 110, 111, 112 and 113.
Total natural numbers = 12
Prime numbers from 102 to 113 = 103, 107, 109, 113
Total prime numbers = 4
∴ Required fraction = \(\frac { Total\ prime\ numbers }{ Total\ natural\ numbers } =\frac { 4 }{ 12 } =\frac { 1 }{ 3 } \)
18.
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 = \(\frac { Total\ prime\ numbers }{ Total\ natural\ numbers } =\frac { 5 }{ 11 } \)
19.
Total number of dresses to be dyed = 30
Number of dresses finished = 20
∴ Required fraction of finished dresses
= \(\frac { Number\quad of\quad dress\quad finished }{ Total\quad number\quad of\quad dresses } =\frac { 20 }{ 30 } =\frac { 2 }{ 3 } \)
20.
We know that, total minutes in an hour = 60 min
∴ Required field fraction = \(\frac { 40\quad min }{ 60\quad min } =\frac { 40 }{ 60 } =\frac { 2 }{ 3 } \)
21.
We know that, total hours in a day = 24 h
∴ Required field fraction = \(\frac { 8h }{ 24h } =\frac { 8 }{ 24 } \)
22.
Total number of equal parts = 8; Shaded parts = 4
∴ Fraction representing the shaded portion = \(\frac { 4 }{ 8 } \)
23.
Total number of equal parts = 4; Shared parts = 2
∴ Fraction representing the shaded portion
= \(\frac { Number\ of\ shaded\ parts }{ Total\ number\ of\ equal\ parts } =\frac { 2 }{ 4 } \)
24.
We know that, one day = 24 h
\(\therefore\) The required fraction = \(\frac { 15\ h }{ 24\ h } =\frac { 15 }{ 14 } =\frac { 5 }{ 8 } \)
25.
Here, the given figure is divided into 4 equal parts and 3 parts out of 4 parts are shaded.
∴ The required fraction = \(\frac { 3 }{ 4 } \)
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