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Reduce the following fractions to simplest form:
(a) 48 / 60
(b) 150 / 60
(c) 84 / 98
(d) 12 / 52
(e) 7 / 28

Solution:

To reduce a fraction to its simplest form, we divide both numerator and denominator by their GCF.

(a) 48 / 60

The GCF of both numerator and denominator is 12. By dividing the numerator and denominator with GCF, we get

48 / 60 ÷ 12 / 12 = 4 / 5.

The simplest form of 48 / 60 is 4 / 5.

(b) 150 / 60

The GCF of both numerator and denominator is 30. By dividing the numerator and denominator with GCF, we get

150 / 60 ÷ 30 / 30 = 5 / 2.

The simplest form of 150 / 60 is 5 / 2.

(c) 84 / 98

The GCF of both numerator and denominator is 14. By dividing the numerator and denominator with GCF, we get

84 / 98 ÷ 14 / 14 = 6 / 7.

The simplest form of 84 / 98 is 6 / 7.

(d) 12 / 52

The GCF of both numerator and denominator is 12. By dividing the numerator and denominator with GCF, we get

12 / 52 ÷ 4 / 4 = 3 / 13.

The simplest form of 12 / 52 is 3 / 13.

(e) 7 / 28

The GCF of both numerator and denominator is 7. By dividing the numerator and denominator with GCF, we get

7 / 28 ÷ 7 / 7 = 1 / 4.

The simplest form of 7 / 28 is 1 / 4.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.3 Question 7

Summary:

The simplest fraction of the above fractions are 4/ 5 , 5/ 2, 6/ 7, 3/ 13 and 1/ 4 respectively.

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