Question

In a city 7/20 of the population are women and 1/4 are children. Find the fraction of the population of men
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Answer 1

Answer:

please refer to the attached

Answer 2

Given,

In a city $\frac{7}{20}$ of the population are women and $\frac{1}{4}$ are children.

We have to find the population of men

Now,

Population of children $=\frac{1}{4}$

We have to convert the given fraction into equivalent fraction

So, $\frac{1}{4}$ divide and multiply with $5$

$=\frac{1}{4}\times\frac{5}{5}$

$= \frac{5}{20}$

Population of women $= \frac{7}{20}$

Total population of a city $= \frac{20}{20}$

Population of men $= \frac{20}{20}-(\frac{7}{20}+\frac{5}{20})$

$= \frac{20}{20}-\frac{12}{20}$

$=\frac{20-12}{20}$

$=\frac{8}{20}$

$=\frac{2}{5}$

Therefore, population of men is $\frac{2}{5}$.