Question

Question 21

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

Given Rani ate $\frac{2}{7}$ part of the cake , then
Remaining part $=1-\frac{2}{7}=\frac{7-2}{7}=\frac{5}{7}$
Her brother ate $\frac{4}{5}$ of $\frac{5}{7}=\frac{4}{5}\times \frac{5}{7}=\frac{4}{7}$
So, Remaininig part of the cake $=\frac{5}{7}-\frac{4}{7}=\frac{5-4}{7}=\frac{1}{7}$
Hence part of the cake left is $\frac{1}{7}$