Rani ate \(\dfrac{2}{7}\) part of a cake while her brother Ravi ate \(\dfrac{4}{5}\) of the remaining. Part of the cake left is ________
Rani ate \(\dfrac{2}{7}\) part of a cake while her brother Ravi ate \(\dfrac{4}{5}\) of the remaining. Part of the cake left is \(\dfrac{1}{7}\).
Left after Rani: \(1-\dfrac{2}{7}=\dfrac{5}{7}\). Ravi ate \(\dfrac{4}{5}\) of this: \(\dfrac{4}{5}\times\dfrac{5}{7}=\dfrac{4}{7}\). Finally left: \(\dfrac{5}{7}-\dfrac{4}{7}=\dfrac{1}{7}\).