Question

There were 7 friends in a birthday party. If 3 friends ate $\frac{5}{8}$ of the cake, 2 others ate $\frac{1}{8}$ of the cake, then what fraction of the cake was left over for the remaining 2 friends?

• A. $\frac{2}{8}$
• B. $\frac{2}{4}$
• C. $\frac{1}{4}$
• D. $\frac{3}{8}$

Answer 1

Answer: (A), (C)

The correct options are
A

$\frac{2}{8}$

C

$\frac{1}{4}$

Let us take the whole cake as 1.

Fraction of cake eaten $=\frac{5}{8}+\frac{1}{8}=\frac{6}{8}$

Fraction of cake remaining for the other two friends $=1-\frac{6}{8}$

$=\frac{8}{8}-\frac{6}{8}$

$=\frac{8-6}{8}=\frac{2}{8}$

$=\frac{1}{4}$