These NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2 Questions and Answers are prepared by our highly skilled subject experts.

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

Question 1.

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

(i) 2 × \(\frac { 1 }{ 5 }\)

(ii) 2 × \(\frac { 1 }{ 2 }\)

(iii) 3 × \(\frac { 2 }{ 3 }\)

(iv) 3 × \(\frac { 1 }{ 4 }\)

Answer:

(i) 2 × \(\frac{1}{5}=\frac{1}{5}+\frac{1}{5}\) which is represented by the drawing (d)

Thus (i) → (d)

(ii) 2 × \(\frac{1}{2}=\frac{1}{2}+\frac{1}{2}\) which is represented by the drawing (b)

Thus (ii) → (b)

(iii) which is represented by the drawing (a)

Thus (iii) → (a)

(iv) which is represented by the drawing (c)

Thus (iv) → (c)

Question 2.

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

Answer:

(i) which is shown by the drawing (c)

∴ (i) → (c)

(ii) which is shown by the drawing (a)

∴ (ii) → (a)

(iii) which is shown by the drawing (b)

∴(iii) → (b)

Question 3.

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

Answer:

Question 4.

Shade:

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

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

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

Answer:

(i)

\(\frac{1}{2}\) of the circles

\(\frac{1}{2}\) of 12 = \(\frac{1}{2}\) × 12

= 6

∴ So, we shade 6 circles.

(ii)

\(\frac{2}{3}\) of the triangles

\(\frac{2}{3}\) of 9 = \(\frac{2 \times 9}{3}\)

= 2 × 3 = 6

∴ So, we shade 6 triangles.

(iii)

\(\frac{3}{5}\) of the squares

\(\frac{3}{5}\) of 15

\(\frac{3}{5}\) × 15

\(\frac{3 \times 15}{5}\) = 3 × 3 = 9

∴ So, we shade 9 squares.

Question 5.

Find:

(a) \(\frac{1}{2}\) of (i) 24, (ii) 46

(b) \(\frac{2}{3}\) of (i) 18, (ii)27

(c) \(\frac{3}{4}\) of (i) 16, (ii) 36

(d) \(\frac{4}{5}\) of (i) 20, (ii) 35

Answer:

Question 6.

Multiply and express as a mixed fraction:

Answer:

Question 7.

(a) \(\frac{1}{2}\) of (i) 2\(\frac{3}{4}\),(ii) 4\(\frac{2}{9}\)

(b) \(\frac{5}{8}\) of (i) 3\(\frac{5}{6}\),(ii) 9 \(\frac{2}{3}\)

Answer:

Question 8.

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

Answer:

Total quantity of water = 5 litres

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

= \(\frac{2}{5}\) x 5 litres = 2 litres

(ii) Remaining water = water

consumed by Pratap

= 5 litres – 2 litres = 3 litres

∵ Fraction of water consumed by \(\frac{3}{5}\) Pratap =