AnInteligentWeeb
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Leroy and his friends ate some birthday cake at his party. After the party 1/4
of the cake was left. Leroy's brother ate 2/3 of the left-over cake. How much
of the whole cake did his brother eat?

A: 1/6
B: 2/3
C: 5/6
D: 1/5

Respuesta :

debmc7
A is the correct answer:
1/4 • 2/3 = 2/12 = 1/6
MrRoyal

This question is an illustration of multiplication of fractions. The amount of eaten by Leroy's brother is [tex]\frac 16[/tex]

Given that:

[tex]L = \frac 14[/tex] ----- The left over

[tex]F = \frac 23[/tex]  ----- The fraction eaten by Leroy's brother

The fraction of the whole cake (B) eaten by Leroy's brother is:

[tex]B = L \times F[/tex]

So, we have:

[tex]B = \frac 14 \times \frac 23[/tex]

Cancel out common terns

[tex]B = \frac 12 \times \frac 13[/tex]

[tex]B = \frac 16[/tex]

Hence, Leroy's brother ate [tex]\frac 16[/tex] of the whole cake

Learn more about multiplication of fractions at:

https://brainly.com/question/1928793

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