Question

Rani ate $\frac{2}{7}$ part of a cake while her brother Ravi ate $\frac{4}{5}$ of the remaining. Part of the cake left is

Answer 1

Let us assume the total part of the cake is $1$.

According to the given details that

Rani ate $\frac{2}{7}$ part of a cake

$\Rightarrow$Remaining part of cake $=1-\frac{2}{7}=\frac{7-2}{7}=\frac{5}{7}$

Now, Ravi ate $\frac{4}{5}$ of the remaining cake $=\frac{4}{5}$ of $\frac{5}{7}$ $=\frac{4}{5}\times \frac{5}{7}=\frac{4}{7}$

Therefore, the part of the cake left $\frac{5}{7}-\frac{4}{7}=\frac{1}{7}$

Hence the part of the cake left is $\frac{1}{7}$