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Lucy sold some items at a garage sale. She spent 7/12 of her earnings on a new bike. She uses 3/5 of the remainder to purchase a gift for her mom. What fraction of her total earnings was spent on her mom's gift?

Respuesta :

First we have to find what fraction remained after buying the bike.

Subtracting 7/12 from 12/12 ( which represents the total)

The result is 5/12

Then, we are going to multiply 3/5 by 5/12 ( the remainder) to find our final answer.

[tex]\begin{gathered} \frac{3}{5}\cdot\frac{5}{12}=\frac{15}{60} \\ \frac{15}{60}=\frac{5}{20}=\frac{1}{4}\text{ Simplifying our fraction} \end{gathered}[/tex]

The fraction of her total earnings spent on her mom's gift was 1/4

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