Ex 2.1 Q7 Fractions and Decimals Solution- NCERT Maths Class 7

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Question

Ritu ate \(\begin{align}\frac{3}{5}\end{align}\) part of an apple and the remaining part was eaten by his brother Somu. How much part of the apple Somu eat? Who has the larger share? By how much

Text Solution

What is Known?

Parts (fraction) of the apple which Ritu ate.

What is unknown?

Who ate the larger part of the apple and by how much.

Reasoning:

Compare the fractions and decide which one is larger.

Steps:

Part (fraction) of apple eaten by Ritu \(=\) \(\begin{align}\frac{3}{5}\end{align}\)

Part of apple eaten by Somu \(=\) \(1\)- Part of apple eaten by Ritu

                                             \(\begin{align} = 1 - \frac{3}{5}\end{align}\) = \(\begin{align}\frac{2}{5}\end{align}\)

Since\(\begin{align}\frac{3}{5}\end{align}\) > \(\begin{align}\frac{2}{5}\end{align}\) , Ritu ate larger share.

Difference between their shares \(=\) \(\begin{align}\frac{3}{5} - \frac{2}{5} = \frac{1}{5}\end{align}\)

Thus, Ritu’ s part is \( \begin{align}\frac{1}{5}\end{align}\) more than Somu’s part.

  
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