Class 7th maths solutions, Solutions for NCERT Class 7 th Mathematics Chapter, NCERT Class 7 th Mathematics Chapter 2- Fractions and Decimals Exercise 2.2 Solutions, Exercise 2.2 Maths Solutions, NCERT Maths solutions for class 7th, Questions and answers of NCERT class 7th Mathematics, NCERT Class 7th Mathematics Chapter 2- Fractions and Decimals Exercise 2.2 Solutions.
Please find the detailed Solutions for class 7th Maths Chapter 2- Fractions and Decimals Exercise 2.2 Solutions, you can check all the solutions from here chapter wise
NCERT Class 7th Mathematics Chapter 2- Fractions and Decimals Exercise 2.2 Solutions
Exercise 2.2
1. Which of the drawings (a) to (d) show :
(i) 2 x 1/5 (ii) 2 x 1/2 (iii) 3 x 2/3 (iv) 3 x 1/4
Ans. (i) d
(ii) b
(iii) a
(iv) c
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 3/4 = 2 1/4
Ans. (i) c
(ii) a
(iii)b
3. Multiply and reduce to lowest form and convert into a mixed fraction:
(i) 7 x 3/5
Ans. 7 x 3/5 = 21/5 = 4 1/5
(ii) 4 x 1/3
Ans. 4 x 1/3 = 4/3 = 1 1/3
(iii) 2 x 6/7
Ans. 2 x 6/7 = 12/7 = 1 5/7
(iv) 5 x 2/9
Ans. 5 x 2/9 = 10/9 = 1 1/9
(v) 2/3 x 4
Ans. 2/3 x 4 = 8/3 = 2 2/3
(vi) 5/2 x 6
Ans. 5/2 x 6 = 30/6 = 5
(vii) 11 x 4/7
Ans. 11 x 4/7 = 44/7 = 6 2/7
(viii) 20 x 4/5
Ans. 20 x 4/5 = 80/5 = 16
(ix) 13 x 1/3
Ans. 13 x 1/3 = 13/3 = 4 1/3
(x) 15 x 3/5
Ans. 15 x 3/5 = 45/5 = 9
4. Shade: (i) 1/2 of the circles in box (a) (ii) 2/3 of the triangles in box (b)
(iii) 3/5 of the squares in box (c).
5. Find:
(a) 1/2 of (i) 24 (ii) 46
Ans. (i) 1/2 of 24 = 1/2 x 24 = 12
(ii) 1/2 of 46 = 1/2 x 46 = 23
(b) 2/3 of (i)18 (ii) 27
Ans. (i) 2/3 of 18 = 2/3 x 18 = 12
(ii) 2/3 of 27 = 18
(c) 3/4 of (i) 16 (ii) 36
Ans. 3/4 of 16 = 3/4 x 16 = 12
(ii) 3/4 of 36 = 3/4 x 36 = 27
(d) 4/5 of (i) 20 (ii) 35
Ans. 4/5 of 20 = 4/5 x 20 = 16
(ii) 4/5 of 35 = 4/5 x 35 = 28
6. Multiply and express as a mixed fraction :
(a) 3 x 5 1/5
Ans. 3 x 5 1/5 = 3 x 26/5 = 78/5 = 15 3/5
(b) 5 x 6 3/4
Ans. 5 x 6 3/4 = 5 x 27/4 = 135/4 = 33 3/4
(c) 7 x 2 1/4
Ans. 7 x 2 1/4 = 7 x 9/4 = 63/4 = 15 3/4
(d) 4 x 6 1/3
Ans. 4 x 6 1/3 = 4 x 19/3 = 76/3 = 25 1/3
(e) 3 1/4 x 6
Ans. 3 1/4 x 6 = 13/4 x 6 = 78/4 = 39/2 = 19 1/2
(f) 3 2/5 x 8
Ans. 3 2/5 x 8 = 17/5 x 8 = 136/5 = 27 1/5
7. Find :
(a) 1/2 of (i) 2 3/4 (ii) 4 2/9
Ans. (i) 1/2 of 2 3/4 = 1/2 x 2 3/4 = 1/2 x 11/4 = 11/8 = 1 3/8
(ii) 1/2 of 4 2/9 = 1/2 x 4 2/9 = 1/2 x 38/9 = 38/18 = 2 2/18 = 2 1/9
(b) 5/8 of (i) 3 5/6 (ii) 9 2/3
Ans. (i) 5/8 of 3 5/6 = 5/8 x 3 5/6 = 5/8 x 23/6 = 115/48 = 2 19/48
(ii) 5/8 of 9 2/3 = 5/8 x 9 2/3 = 5/8 x 29/3 = 145/24 = 6 1/24
8. Vidya and Pratap went for a picnic. Their mother gave them a water bottle that
contained 5 litres 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?
Ans. Water consumed by Vidhya = 2/5 of 5 litres
= 2/5 x 5 = 2 litres
(ii)Water consumed by Pratap = 1- 2/5 = 3/5 of total water
You can find the solutions for previous exercise from here
- Class 7th Maths – Exercise 2.1 Solutions
- Class 7th Maths – Exercise 1.4 Solutions
- Class 7th Maths – Exercise 1.3 Solutions
You can find solution for whole chapter here –
