Question

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

Answer 1

a) $\frac{5}{9},\frac{30}{54}$
$\frac{30}{54}=\frac{5\times 6}{9\times 6}=\frac{5}{9}$
Clearly, both the fractions are equivalent.
b) $\frac{3}{12},\frac{12}{50}$
$\frac{3}{10}=\frac{3\times 2}{10\times 2}=\frac{6}{20}$
$\frac{12}{50}=\frac{6\times 2}{25\times 2}=\frac{6}{25}$
Clearly, both the fractions are not equivalent.
c) $\frac{7}{13},\frac{5}{11}$
$\frac{7}{13}=\frac{7\times 11}{13\times 11}=\frac{77}{143}$
$\frac{5}{11}=\frac{5\times 13}{11\times 13}=\frac{65}{143}$
clearly, both the fractions are not equivalent.