Fractions and Decimals
Exercise 2.2
1). Which of the drawings (a) to (d) show:
(i) 2 X 1/5 (ii) 2 X ½
(iii) 3 X 1/3 (iv) 3 X ¼
Answers:
2). Some pictures (a) to (c) are given below. Tell which of them show
(i) 3 X 1/5 = 3/5 (ii) 2 X 1/3 = 2/3
(iii) 3 X ¾ = 2 ¼
Answers:
3). Multiply and reduce to lowest form and convert into a mixed fraction.
(i) 7 X 3/5 (ii) 4 X 1/3
(iii) 2 X 6/7 (iv) 5 X 2/9
(v) 2/3 X 4 (vi) 5/2 X 6
(vii) 11 X 4/7 (viii) 20 X 4/5
(ix) 13 X 1/3 (x) 15X 3/5
Solutions:
(i) 7 X 3/5 (ii) 4 X 1/3
(iii) 2 X 6/7 (iv) 5 X 2/9
(v) 2/3 X 4 (vi) 5/2 X 6
(vii) 11 X 4/7 (viii) 20 X 4/5
(ix) 13 X 1/3 (x) 15X 3/5
4). Shade (i) ½ of the circles in box(a)
(ii) 2/3 of the circles in box(b)
(iii) 3/5 of the circles in box(c)
5). Find
(a) ½ of (i) 24 (ii) 46
(b) 2/3 of (i) 18 (ii) 27
(c) ¾ of (i) 16 (ii) 36
(d) 4/5 of (i) 20 (ii) 35
Solutions:
(a) ½ of (i) 24 (ii) 46
(b) 2/3 of (i) 18 (ii) 27
(c) ¾ of (i) 16 (ii) 36
(d) 4/5 of (i) 20 (ii) 35
6). Multiply and express as mixed fraction.
(a) 3 X 5 1/5 (b) 5 X 6 ¾
(c) 7 X 2 ¼ (d) 4 X 6 1/3
(e)3 ¼ X 6 (f) 3 2/5 X 8
Solutions:
(a) 3 X 5 1/5
(b) 5 X 6 ¾
(c) 7 X 2 ¼
(d) 4 X 6 1/3
(e)3 ¼ X 6
(f) 3 2/5 X 8
7). Find:
(a) ½ of (i) 2 3/4 (ii) 4 2/9
(b) 5/8 of (i) 3 5/6 (ii) 9 2/3
Solutions:
(a) ½ of (i) 2 3/4
(ii) 4 2/9
(b) 5/8 of (i) 3 5/6
(ii) 9 2/3
8). Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 llitres of water. Vidya consumed 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?
Solutions:
(ii) What fraction of the total quantity of water did Pratap drink?
total quanity Pratap drik = 5 – 2 = 3 litres
fraction of the total quantity of water did Pratap drink = 3/5 litres.
Click here for the solutions of
Exercise 2.3
Exercise 2.4
Exercise 2.5
Exerccise 2.6
Exercise 2.7
