Question

A cake is cut into 3 pieces as shown by the given pie chart. If a quarter of the 3rd piece is leftover, the fraction of the cake that is leftover is

• A. $\frac{4}{3}$
• B. $\frac{1}{12}$
• C. $\frac{3}{4}$
• D. $\frac{3}{12}$

Answer 1

The correct option is B $\frac{1}{12}$


$\text{Total number of equal pieces}=3$

$\text{Piece 3 is one out of 3 equal pieces.}$

$\text{So, fraction of piece 3}=\frac{1}{3}$

$\text{Quarter of piece 3 is leftover.}$

$⟹\text{Fraction of the cake that is leftover}=\frac{1}{4}\times \frac{1}{3}=\frac{1\times 1}{4\times 3}=\frac{1}{12}$