## 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

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