**How to verify equivalent fractions?**

If two fractions are equivalent, then the product of one’s numerator and the other’s denominator is equal to the product of one’s denominator and the other numerator.

Consider two fractions 1/3 and 4/12

1 × 12 = 12

3 × 4 = 12

1 × 12 = 3 × 4.

So, 1/3 and 4/12 are equivalent fractions.

Worked-out examples to verify equivalent fractions:

**1.** **Write five equivalent
fractions of 4/5.**

The five equivalent fractions of 4/5 are:

4 × 2/5 × 2 = 8/10

4 × 3/5 × 3 = 12/15

4 × 4/5 × 4 = 16/20

4 × 5/5 × 5 = 20/25

4 × 6/5 × 6 = 24/30

Therefore, 8/10, 12/15, 16/20, 20/25 and 24/30 are the equivalent fractions.

**2.** Are the following two fractions equivalent?

**(i)
2/5 and 10/24**

Product of 2 × 24 = 48

Product of 5 × 10 = 50

The products are not equal.

So, 2/5 and 10/24 are not equivalent fractions.

**(ii)
7/9 and 28/36**

Product of 7 × 36 = 252

Product of 9 × 28 = 252

Both the products are equal.

So, 7/9 and 28/36 are equivalent fractions.

Thus, to verify equivalent fractions the above procedure are followed to make sure that the pairs of fractions are equivalent.

**Related Concepts**

**● ****Fraction as a Part of a Whole**** **

**● ****Fraction as a Part of Collection**

**● ****Convert a Fraction to an Equivalent Fraction**

**● ****Proper Fraction and Improper Fraction**

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