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?

Respuesta :

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

We have been given that Talia spent [tex]\frac{3}{4}[/tex] of this week's allowance on candy. Of the money she spent on candy [tex]\frac{5}{6}[/tex] was spent on gummy bears.

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

[tex]\text{Fraction of this week's allowance spent on gummy bears}=\frac{3}{4}\times \frac{5}{6}[/tex]

[tex]\text{Fraction of this week's allowance spent on gummy bears}=\frac{3*5}{4*2*3}[/tex]

[tex]\text{Fraction of this week's allowance spent on gummy bears}=\frac{5}{8}[/tex]

Therefore, Talia spent [tex]\frac{5}{8}[/tex] of this week's allowance on gummy bears.