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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