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

## Question

Ritu ate \(\begin{align}\frac{3}{5}\end{align}\) part of an apple and the remaining part was eaten by his brother Somu. What part of the apple did 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

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

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.