Question

Which ratio is greater: $15:18or24:27$

Answer 1

Given ratios are $15:18or24:27$

First convert ratio into fraction

$15:18=\frac{15}{18}=\frac{3}{6}$

$24:27=\frac{24}{27}=\frac{8}{9}$

Take lcm of denominator ($6and9$) that will be $18.$

Then multiply both the numerator and denominator by the same suitable no but the denominator should be$18.$

$\Rightarrow \frac{3}{6}\times \frac{3}{3}=\frac{9}{18}$

$\Rightarrow \frac{8}{9}\times \frac{2}{2}=\frac{16}{18}$

If denominators are the same you can compare the numerators. The fraction with the bigger numerator is the larger fraction.

$\frac{9}{18}<\frac{16}{18}$

Therefore $15:18<24:27$