Question

Rachel ate $\frac{1}{3}$ of a cake. The portion of the cake left is

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

Answer 1

The correct option is A $\frac{2}{3}$

The cake is one whole portion, which means it can be taken as $1$.

Portion of the cake eaten by Rachel $=\frac{1}{3}$

Portion of the cake left $=1-\frac{1}{3}$

$=\frac{1\times 3}{3}-\frac{1}{3}$

$=\frac{3}{3}-\frac{1}{3}$

$=\frac{3-1}{3}$

$=\frac{2}{3}$