Question

Find three equivalent fractions for the fraction $\frac{3}{18}$

Answer 1

The given fraction is $\frac{3}{18}$

$3=1\times 3$

$18=2\times 3\times 3$

$G.C.F(3,18)=3$

Since $G.C.F.\ne 1$, we divide the numerator and denominator by $3$ we get $\frac{1}{6}$

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

Multiply numerator and denominator by $2$and $4$ we get

$\frac{1}{6}=\frac{1\times 2}{6\times 2}=\frac{2}{12}$

$\frac{1}{6}=\frac{1\times 4}{6\times 4}=\frac{4}{24}$

Hence the equivalent fractions are $\frac{1}{6},\frac{2}{12}$ and $\frac{4}{24}$