Question

Mr.Sai ate $\frac{2}{9}$of the chocolate cake while Mr.Singh ate $\frac{4}{9}$of the chocolate cake. Find the fraction of the chocolate cake left over.

Answer 1

Let the whole cake be $1$

The amount of cake ate by Mr.Sai is $\frac{2}{9}$

The amount of cake ate by Mr.Singh is $\frac{4}{9}$

The amount of cake left over $=$The whole cake$-$(The amount of cake ate by Mr.Singh $+$The amount of cake ate by Mr.Sai)

$$\begin{gathered} =1-\left(\frac{4}{9}+\frac{2}{9}\right) \\ =1-\left(\frac{4+2}{9}\right) \\ =1-\frac{6}{9} \\ =\frac{9-6}{9} \\ =\frac{3}{9} \\ =\frac{1}{3} \end{gathered}$$

Hence, the fraction of the chocolate cake left over is $\frac{3}{9}$or $\frac{1}{3}$