Which of the following pairs of ratios is greater?$5:8$ or $4:5$

Given :

The given ratios are $5:8$ and $4:5$.

To do :

We have to find which of the given ratios is greater.

Solution :

To compare which of the given ratios is greater, we have to compare the fractions.

$5:8 = \frac{5}{8}$

$4:5 = \frac{4}{5}$

To compare $\frac{5}{8}$ and  $\frac{4}{5}$

$frac{3}{5} , frac{4}{7} and frac{8}{9}$

LCM of 8, 5  is $8\times 5=40$.

$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$

$\frac{4}{5}=\frac{4\times 8}{5 \times 8} = \frac{32}{40}$

Now, comparing the numerators, $32 > 25$

$\frac{32}{40} > \frac{25}{40}$

So,  $\frac{4}{5} >  \frac{5}{8}$

$4:5>5:8$.

Therefore, 4:5 is greater than 5:8.

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Updated on: 10-Oct-2022

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