Out of the ratios $7: 20 ; 13: 25 ; 17: 30$ and $11: 15$, find the smallest one.

To do: To find the smallest one out of the ratios $7: 20 ; 13: 25 ; 17: 30$ and $11: 15$.

Solution:

Given ratios are $7: 20 ; 13: 25 ; 17: 30$ and $11: 15$.

Let's express the given ratios in fraction form equalise the fractions:

$7: 20=\frac{7}{20}=\frac{7}{20}\times\frac{15}{15}=\frac{105}{300}$

$13: 25=\frac{13}{25}=\frac{13}{25}\times\frac{12}{12}=\frac{156}{300}$

$17: 30=\frac{17}{30}=\frac{17}{30}\times\frac{10}{10}=\frac{170}{300}$

$11: 15=\frac{11}{15}=\frac{11}{15}\times\frac{20}{20}=\frac{220}{300}$

On comparing, $\frac{105}{300}=\frac{7}{20}$ is the smallest.

Thus, $7: 20$ is the smallest ratio.

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Updated on: 10-Oct-2022

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