Question

Check whether the given fractions are equivalent:

(a) 5 / 9, 30 / 54

(b) 3 / 10, 12 / 50

(c) 7 / 13, 5 / 11

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Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

(a) Given 5 / 9 and 30 / 54

We have 5× 54 = 270

9 × 30 = 270

5 × 54 = 9 × 30

• Hence, 5 / 9 and 30 / 54 are equivalent fractions

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(b) Given 3 / 10 and 12 / 50

We have 3 × 50 = 150

10 × 12 = 120

3 × 50 ≠ 10 × 12

• Hence, 3 / 10 and 12 / 50 are not equivalent fractions

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(c) Given 7 / 13 and 5 / 11

We have 7 × 11 = 77

5 × 13 = 65

7 × 11 ≠ 5 × 13

• Hence, 7 / 13 and 5 / 11 are not equivalent fractions

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Answer 2

Step-by-step explanation:

option a is equivalent