Question

Which ratio is greater: $15:27or32:40$

Answer 1

Given ratios are $15:27$and $32:40$

First convert ratios into simplest fraction

$15:27=\frac{15}{27}=\frac{5}{9}$

and $32:40=\frac{32}{40}=\frac{4}{8}$

Take lcm of numerator ($9and8$) that will be $72.$

Then multiply both the numerator and denominator by the same suitable number such that the denominator should be $72.$

$\Rightarrow \frac{5}{9}\times \frac{8}{8}=\frac{40}{72}$

$\Rightarrow \frac{4}{8}\times \frac{9}{9}=\frac{36}{72}$

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

$\frac{40}{72}>\frac{36}{72}$

Therefore $15:27>32:40$

Hence greater is $15:27$