Question

Which ratio is greater: $2:3or3:5$

Answer 1

Given ratios are $2:3or3:5$

First convert ratio into fraction

$2:3=\frac{2}{3}$

$3:5=\frac{3}{5}$

Take lcm of numerator ($3and5$) that will be $15.$

Then multiply both the numerator and denominator by the same suitable no but the denominator should be$15.$

$\Rightarrow \frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$

$\Rightarrow \frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$

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

$\frac{10}{15}>\frac{9}{15}$

Therefore $2:3>3:5$