# Check whether the given fractions are equivalent:

(a) 5 / 9, 30 / 54

(b) 3 / 10, 12 / 50

(c) 7 / 13, 5 / 11

**Solution:**

We use the concepts of fractions and equivalent fractions to answer the given questions. The equivalent fractions have the same value irrespective of the digits in the numerator and denominator. To check whether a fraction is equivalent or not, we reduce the fractions to their lowest form.

**(a)** 5 / 9, 30 / 54

Dividing the fraction 30 / 54 by 6 / 6, we get

30 / 54 ÷ 6 / 6 = 5 / 9.

∴ 5 / 9 and 30 / 54 are equivalent fractions as their value is the same irresepective of the numbers in numerator and denominator.

**(b)** 3 / 10, 12 / 50

Dividing the fraction 12 / 50 by 2 / 2, we get

12 / 50 ÷ 2 / 2 = 6 / 25.

∴ 3 / 10 and 12 / 50 are not equivalent fractions as their value is not the same when reduced to lowest term reduced to lowest term.

**(c)** 7 / 13 , 5 / 11

The above fractions are already in their lowest terms.

7 / 13 ≠ 5 / 11 as their value is not the same in their lowest term.

∴ 7 / 13 and 5 / 11 are not equivalent fractions as they do not have the same value when reduced to the lowest term.

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

## Check whether the given fractions are equivalent: a) 5 / 9, 30 / 54 b) 3 / 10, 12 / 50 c) 7 / 13, 5 / 11

**Summary:**

Using the concepts of fractions and equivalent fractions, we understand that equivalent fractions have the same value when they are reduced to their lowest terms. In the given fractions ,only 5 / 9 and 30 / 54 are equivalent fractions.

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