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The park has $\frac{5}{12}$ of its space a green space, if $\frac{1}{5}$ of that green space is used, how much of the park is used?

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Multiply fractions: word problems

Full solution

Q. The park has

\frac{5}{12}

of its space a green space, if

\frac{1}{5}

of that green space is used, how much of the park is used?

Determine green space fraction: Determine the fraction of the park that is green space. The park has $\frac{5}{12}$ of its space as green space.
Calculate used green space fraction: Calculate the fraction of the green space that is used. $\frac{1}{5}$ of the green space is used.
Multiply fractions: Multiply the two fractions to find the fraction of the entire park that is used. $\newline$ $(\frac{5}{12}) \times (\frac{1}{5}) = \frac{5}{60}$
Simplify fraction: Simplify the fraction obtained in Step $3$ . $\newline$ $\frac{5}{60}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $5$ . $\newline$ $\frac{5}{60} = \frac{(5 \div 5)}{(60 \div 5)} = \frac{1}{12}$

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