# Ex 2.2 Q2 Fractions-and-Decimals-Solutions NCERT Maths Class 7

## Question

Some pictures \((a)\) to \((c)\) are given below. Tell which of them show:

(i) \(\begin{align}3 \times \frac{1}{5} = \frac{3}{5}\end{align}\)

(ii) \(\begin{align}2 \times \frac{1}{3} = \frac{2}{3}\end{align}\)

(iii) \(\begin{align}3 \times \frac{3}{4} = 2\frac{1}{4}\end{align}\)

## Text Solution

**What is Known?**

Fractions and pictures.

**What is unknown?**

Matching of fractions with shaded part of the picture.

**Reasoning:**

Matching can be done by comparing the fractions with the shaded areas of the pictures.

**Steps:**

(i) \(\begin{align} 3 \times \frac{1}{5} = \frac{3}{5} \end{align}\) matches with (c) since, \(\begin{align} 3 \times \frac{1}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{3}{5} \end{align}\)

(ii) \(\begin{align} 2 \times \frac{1}{3} = \frac{2}{3} \end{align}\) matches with (a) Since \(\begin{align} 2 \times \frac{1}{3} = \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \end{align}\)

(iii) \(\begin{align} 3 \times \frac{3}{4} = 2\frac{1}{4} \end{align}\) matches with (b) Since, \(\begin{align} 3 \times \frac{3}{4} = \frac{3}{4} + \frac{3}{4} + \frac{3}{4} = 2\frac{1}{4} \end{align}\)