NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 2: Fractions and Decimals - Fill in the Blanks
Question 21

Question. 21

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 ________

Answer:

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 \(\dfrac{1}{7}\).

Detailed Answer with Explanation:

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: \(\dfrac{5}{7}-\dfrac{4}{7}=\dfrac{1}{7}\).

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