Question

Two fifths of the girls in school signed up to play softball. An equal number of girls signed up to play pitcher, infield and outfield. What fraction of the girls signed up to play outfield?

Answer 1

The fraction of the girls signed up to play outfield is $\frac{2}{15}$

Solution:

Given that Two fifths of the girls in school signed up to play softball

An equal number of girls signed up to play pitcher, infield and outfield

So there are 3 equal groups formed from two fifth

This means that we could divide the 2/5 initial group into 3 equal smaller groups for each play pitcher, infield and outfield

Therefore, fraction of the girls signed up to play outfield is found by dividing $\frac{2}{5}$ by 3

$\text{ Fraction of girls play outfield } = \frac{\frac{2}{5}}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{5} \times \frac{1}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{15}$

Thus fraction of the girls signed up to play outfield is $\frac{2}{15}$