Question

Find three equivalent fraction for the fraction $\frac{12}{15}$

Answer 1

Consider $\frac{12}{15}$

$G.C.F(12,15)=3$

Since $G.C.F.\ne 1$, we divide the numerator and denominator by $3$ we get $\frac{4}{5}$

This is our first equivalent fraction. We use this fraction to find more equivalent fractions.

Multiply numerator and denominator by $2and4$ we get

$\frac{4}{5}=\frac{4\times 2}{5\times 2}=\frac{8}{10}$

$\frac{4}{5}=\frac{4\times 4}{5\times 4}=\frac{16}{20}$

Hence the equivalent fractions are $\frac{4}{5},\frac{8}{10},\frac{16}{20}$