Question

Write the following ratios in the lowest terms

$\frac{2}{3}:\frac{5}{6}$

Answer 1

As $\frac{2}{3}:\frac{5}{6}=\frac{{\displaystyle \frac{2}{3}}}{{\displaystyle \frac{5}{6}}}=\frac{2}{3}\times \frac{6}{5}=\frac{2}{3}\times \frac{2\times 3}{5}=\frac{4}{5}$

Hence, the lowest term is $\frac{4}{5}=4:5$