Convert $3 / 5, 7 / 10, 8 / 15$ and $11 / 30$ into like fractions

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Solution

Given fractions are $3 / 5, 7 / 10, 8 / 15$ and $11 / 30$
(Refer image)
LCM of $5, 10, 15, 30 = (5 \times 3 \times 2) = 30$
Converting each of the given fractions into an equivalent fraction with denominator as $30$
We get
$(3 \times 6) / (5 \times 6) = 18 / 30 (7 \times 3) / (10 \times 3) = 21 / 30$
$(8 \times 2) / (15 \times 2) = 16 / 30 (11 \times 1) / (30 \times 1) = 11 / 30$
$∴ 18 / 30, 21 / 30, 16 / 30$ and $11 / 30$ are the required like fractions.

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