Check whether the given fractions are equivalent.
(a) $ \frac{5}{9}, \frac{30}{54} $
(b) $ \frac{3}{10}, \frac{12}{50} $
(c) $ \frac{7}{13}, \frac{5}{11} $

Given:

Given fractions are

(a) \( \frac{5}{9}, \frac{30}{54} \)
(b) \( \frac{3}{10}, \frac{12}{50} \)
(c) \( \frac{7}{13}, \frac{5}{11} \)

To do:

We have to check whether the given fractions are equivalent.

Solution:

To check whether the given fractions are equivalent we have to simplify them to the simplest fractions.

(a) $\frac{30}{54}=\frac{5\times6}{9\times6}$

$=\frac{5}{9}$

Therefore, \( \frac{5}{9}, \frac{30}{54} \) are equivalent fractions.

(b) $\frac{12}{50}=\frac{2\times6}{2\times25}$

$=\frac{6}{25}$

$\frac{3}{10}≠\frac{6}{25}$

Therefore, \( \frac{3}{10}, \frac{12}{50} \) are not equivalent fractions.

(c) $\frac{7}{13}≠\frac{5}{11}$

Therefore, \( \frac{7}{13}, \frac{5}{11} \) are not equivalent fractions.

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Updated on: 10-Oct-2022

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