Question

Identify the equivalent fractions of $37.5\%$.

• A. $\frac{21}{56}$ and $\frac{38}{83}$
• B. $\frac{21}{56}$ and $\frac{33}{88}$
• C. $\frac{12}{65}$ and $\frac{33}{88}$
• D. $\frac{2}{5}$ and $\frac{13}{18}$

Answer 1

The correct option is B $\frac{21}{56}$ and $\frac{33}{88}$

Equivalent fractions are defined as fractions with different numerators and denominators, but represent the same part of a whole.

As, $37.5\%=\frac{37.5}{100}=\frac{3}{8}$

When the numerator and denominator of this fraction are multiplied by the same number, we get an equivalent fraction of $\frac{3}{8}$.

$\frac{3}{8}$ = $\frac{3\times 7}{8\times 7}$ = $\frac{21}{56}$

$\frac{3}{8}$ = $\frac{3\times 11}{8\times 11}$ = $\frac{33}{88}$

$\therefore$ $\frac{21}{56}$ and $\frac{33}{88}$ are equivalent fractions of $\frac{3}{8}$ or 37.5%.