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Published on: 24/10/2025
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Questions + Answers key
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1.
Identify the errors, if any
This is \(\frac { 1 }{ 4 } \)
2.
Write the fraction representing the shaded portion.
3.
Write the fraction representing the shaded portion.
4.
Write the fraction representing the shaded portion.
5.
Are \(\frac { 2 }{ 9 } \) and \(\frac { 6 }{ 27 } \) equivalent? Give reason.
6.
Are \(\frac { 2 }{ 5 } and\frac { 2 }{ 7 } \) equivalent? Give reason
7.
Are \(\frac { 1 }{ 3 } and\frac { 2 }{ 7 } \) equivalent? Give reason
8.
Draw number lines and locate the points on them. \(\frac { 1 }{ 2 } ,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 4 } \)
9.
Write the fractions. Are all these fractions equivalent?
10.
If \(\frac{7}{9}=\frac{28}{p}\) then value of p is
23
2
36
16
11.
When \(\frac{1}{7}\) is written with denominator as 56, its numerator is
3
8
24
12
12.
________ can be expressed in form
\(2\frac{3}{19}\)
\(2\frac{1}{19}\)
\(1\frac{2}{19}\)
\(3\frac{1}{19}\)
13.
The two consecutive integers between which the fraction \(\frac{5}{7}\) lies are
5 and 6
0 and 1
5 and 7
6 and 7
14.
The fraction which is not equal to \(\frac{4}{5}\) is
\(\frac{40}{50}\)
\(\frac{12}{15}\)
\(\frac{16}{20}\)
\(\frac{9}{15}\)
15.
\(\frac{7}{9}\)and \(\frac{5}{9}\) are _______ proper fractions
16.
\(\frac{21}{13}\) is an _______ fraction.
17.
\(13\frac{5}{18}\) is an _______ fraction.
18.
Fractions with the same denominators are called _____ fractions
19.
A fraction with numerator greater than the denominator is called an ______ fraction.
20.
Ali divided one fruit cake equally among six persons. The part of the cake he gave to each person is \(\frac{1}{6}\)
21.
The simplest form of \(\frac{24}{50}\) is \(\frac{12}{25}\)
22.
The value of \(\frac{19}{23}-\frac{7}{23} \) is \(\frac{12}{23}\)
23.
The result obtained by subtracting a fraction from another fraction is necessarily a fraction.
24.
Sum of two fractions is always a fraction.
25.
\(\frac{6}{7}\)
26.
\(\frac{6}{16}\)
27.
\(\frac{7}{7}\)
28.
\(\frac{6}{10}\)
29.
\(\frac{6}{4}\)
30.
Think of three more fractions that are equivalent to the above fractions.
31.
Where do you come across mixed fractions? Give some examples.
32.
Write five improper fractions with numerator 11.
33.
Write five improper fractions with denominator 7.
34.
Name the numerator of \(\frac { 3 }{ 7 } \)and the denominator of \(\frac { 4 }{ 15 } \)
1.
In the given figure, four parts are not equal.
∴ Fraction is not equal to 1/4.
2.
Total number of equal parts = 2; Shaded parts = 1
∴ Fraction representing the shaded portion = \(\frac { 1 }{ 2 } \)
3.
Total number of equal parts = 10; Shaded parts = 10
∴ Fraction representing the shaded portion = \(\frac { 10 }{ 10 } \)
4.
Total number of equal parts = 4; Shaded parts = 1
∴ Fraction representing the shaded portion = \(\frac { 1 }{ 4 } \)
5.
\(\frac { 2 }{ 9 }\)and \( \frac { 6 }{ 27 } \) Here 2\(\times\)27 =54 and 9\(\times\)6 = 54
∵ 54 = 54, so \(\frac { 2 }{ 9 } \)and \(\frac { 6 }{ 27 } \) are not equivalent fractions
6.
\(\frac { 2 }{ 5 } \)and \(\frac { 2 }{ 7 } \) Here 2\(\times\)7 =14 and 5\(\times\)2 = 10
∵ 14 ≠ 10, so \(\frac { 2 }{ 5 }\)and \(\frac { 2 }{ 7 } \) are not equivalent fractions.
7.
\(\frac { 1 }{ 3 } \)and \(\frac { 2 }{ 7 } \) Here,1\(\times\)7 = 7 and 3\(\times\)2 =6
∵ 7 ≠ 6, so \(\frac { 1 }{ 3 } \)and \(\frac { 2 }{ 7 } \) are not equivalent fractions.
8.
Here, fractions are\(\frac { 1 }{ 2 } ,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 4 } \) Also \(\frac { 1 }{ 2 } =\frac { 1\times 2 }{ 2\times 2 } =\frac { 2 }{ 4 } \)
Now, draw a number line, mark two points 0 and 1on it. Divide the gap between 0 and 1 into four equal parts because denominator is 4, then each part will show\(\frac { 1 }{ 4 } \) Also, 2 parts show\(\frac { 2 }{ 4 } \), 3 parts show \(\frac { 3 }{ 4 } \) and 4 parts show \(\frac { 4 }{ 4 } \)
Here A, B, C and D represent \(\frac { 1 }{ 2 } ,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 4 } \) respectively.
9.
(i) Total number of equal parts = 2;
Number of shaded parts = 1
∴ Fraction of shaded portion = \(\frac { Number\ of\ shaded\ parts\ }{ Total\ number\ of\ equal\ parts } =\frac { 1 }{ 2 } \)
(ii) Total number of equal parts = 4;
Number of shaded parts = 2
∴ Fraction of shaded portion = 2/4
(iii) Total number of equal parts = 6;
Number of shaded parts = 3
∴ Fraction of shaded portion = 3/6
(iv) Total number of equal parts = 8;
Number of shaded parts = 4
∴ Fraction of shaded portion = 4/8
Now, \(\frac { 2 }{ 4 } =\frac { 2\div 2 }{ 4\div 2 } =\frac { 1 }{ 2 } \) [∵ HCF of 2 and 4 is 2]
\(\frac { 3 }{ 6 } =\frac { 3\div 3 }{ 6\div 3 } =\frac { 1 }{ 2 } \) [∵ HCF of 3 and 6 is 3]
\(\frac { 4 }{ 8 } =\frac { 4\div 4 }{ 8\div 4 } =\frac { 1 }{ 2 } \) [∵ HCF of 4 and 8 is 4]
Since all fraction in simple form are same.
∴ \(\frac { 1 }{ 2 } =\frac { 2 }{ 4 } =\frac { 3 }{ 6 } =\frac { 4 }{ 8 } \) i.e the fractions are equivalent.
10.
(c)
36
11.
(b)
8
12.
(c)
\(1\frac{2}{19}\)
13.
(b)
0 and 1
14.
(d)
\(\frac{9}{15}\)
15.
( )
Here,\(\frac{7}{9}\) and \(\frac{5}{9}\) have same denominators, so they are like proper fractions.
16.
( )
\(\frac{21}{13}\) is an improper fraction.
17.
( )
\(13\frac{5}{18}\)is a mixed fraction.
18.
( )
Fractions having same denominators are called like fractions.
19.
( )
A fraction which has denominator greater than numerator is called an improper fraction.
20.
(a)
21.
(a)
22.
(a)
23.
(b)
24.
(b)
25.
( )

26.
( )

27.
( )

28.
( )

29.
( )

30.
( )
\(\frac { 4 }{ 8 } ,\frac { 5 }{ 10 } ,\frac { 6 }{ 12 } \)
31.
( )
Marks obtained in a test, price, weight, height, etc.
32.
( )
Required fractions are \(\frac { 11 }{ 10 } ,\frac { 11 }{ 9 } ,\frac { 11 }{ 8 } ,\frac { 11 }{ 7 } \)and \(\frac { 11 }{ 6 } \)
33.
( )
Required fractions are \(\frac { 8 }{ 7 } ,\frac { 9 }{ 7 } ,\frac { 10 }{ 7 } ,\frac { 11 }{ 7 } \)and \(\frac { 12 }{ 7 } \)
34.
( )
The numerator of\(\frac { 3 }{ 7 } \) is 3 and the denominator of \(\frac { 4 }{ 15 } \)is 15
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