## NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2

**NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.2**

Ex 2.2 Class 7 Maths Question 1.

Which of the drawings (a) to (d) show.

\(\begin{array}{ll}{(i) 2 \times \frac{1}{5}} & {(i i) 2 \times \frac{1}{2}} \\ {(i i i) 3 \times \frac{2}{3}} & {(i v) 3 \times \frac{1}{4}}\end{array}\)

Solution:

(i) \(2 \times \frac{1}{5}\) represents drawing (d)

(ii) \(2 \times \frac{1}{2}\) represents drawing (b)

(iii) \(3 \times \frac{2}{3}\) represents drawing (a)

(ic) \(3 \times \frac{1}{4}\) represents drawing (c)

Ex 2.2 Class 7 Maths Question 2.

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

Solution:

(i) \(3 \times \frac{1}{5}=\frac{3}{5}\) represents figure (c)

(ii) \(2 \times \frac{1}{3}=\frac{2}{3}\) represents figure (a)

(iii) \(3 \times \frac{3}{4}=2 \frac{1}{4}\) represents figure (b)

Ex 2.2 Class 7 Maths Question 3.

Multiply and reduce to lowest form and convert into a mixed fraction:

Solution:

Ex 2.2 Class 7 Maths Question 4.

Shade:

(i) \(\frac{1}{2}\) of the circles in box (a)

(ii) \(\frac{2}{3}\) of the circles in box (b)

(iii) \(\frac{3}{5}\) of the circles in box (c)

Solution:

Ex 2.2 Class 7 Maths Question 5.

Find:

Solution:

Ex 2.2 Class 7 Maths Question 6.

Multiply and express as a mixed fraction.

Solution:

Ex 2.2 Class 7 Maths Question 7.

Find:

Solution:

Ex 2.2 Class 7 Maths Question 8.

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed \(\frac{2}{5}\) of the water. Pratap consumed the remaining water.

(i) How much water did Vidya drink?

(ii) What fraction of the total quantity of water did Pratap drink?

Solution:

(i) Water consumed by Vidya = \(\frac{2}{5}\) of 5 litres

Water consumed by Patap

= 5 litres – 2 litres = 3 litres

(ii) Fraction of water consumed by Pratap

= \(\frac{3}{5}\) litres