Question

A pie is distributed among four friends. Each of them had $\frac{1}{13},\frac{4}{13},\frac{5}{13},\frac{3}{13}$ of the pie. How much pie is left?

• A. $\frac{1}{13}$
• B. $\frac{3}{13}$
• C. $\frac{2}{13}$
• D. No pie is left.

Answer 1

The correct option is D No pie is left.

Let's find the quantity of pie in each case.
For the first friend, it is:
$1-\frac{1}{13}=\frac{12}{13}$
For the second friend, it is:
$\frac{12}{13}-\frac{4}{13}=\frac{8}{13}$
For the third friend, it is:
$\frac{8}{13}-\frac{5}{13}=\frac{3}{13}$
For the fourth friend, it is:
$\frac{3}{13}-\frac{3}{13}=\frac{0}{13}=0$
So, no pie is left after everyone has had their share.