Question

Talia spent \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 ​ start fraction, 5, divided by, 6, end fraction was spent on gummy bears. What fraction of this week's allowance did Talia spend on gummy bears?

Answer 1

`(5)/(8)`

Explanation:

We have been given that Talia spent
`(3)/(4)` of this week's allowance on candy. Of the money she spent on candy
`(5)/(6)` was spent on gummy bears.

To find the fraction of this week's allowance spent on gummy bears, we will multiply both fractions as:

`\text{Fraction of this week's allowance spent on gummy bears}=(3)/(4)* (5)/(6)`

`\text{Fraction of this week's allowance spent on gummy bears}=(3*5)/(4*2*3)`

`\text{Fraction of this week's allowance spent on gummy bears}=(5)/(8)`

Therefore, Talia spent
`(5)/(8)` of this week's allowance on gummy bears.