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

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

 Video Solution
Fractions And Decimals
Ex 2.2 | Question 2

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

  
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