**Fractions and Decimals, Class 7 Ex. 2.1;**

**New Ncert Solution for Class 7 Maths Chapter 2 Fractions and Decimals Free Solution;**

**Exercise 2.1**

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

**(i) 2×(1/5) (ii) 3×(2/3) (iii) 2×(1/2) (iv) 3×(1/4) ;**

**Solution 1:-**

(i) 2×(1/5) represents drawing (d);

(ii) 2×(1/2) represents drawing (b);

(iii) 3×(2/3) represents drawing (a);

(ic) 3×(1/4) represents drawing (c).

**Question 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);**

**Solution 2:-**

(i) 3×(1/5) = 3/5 represents figure (c);

(ii) 2×(1/3) = 2/3 represents figure (a);

(iii) 3×(3/4)= 2(1/4) represents figure (b)

**Question 3 :- Multiply and reduce to lowest form and convert into a mixed fraction:**

**Solution 3:- **

**Question 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)**

**Solution 4:-**

(i) 1/2 of 12 circles = (1/2) x 12 = 6 circles;

(ii) 2/3 of triangles = (2/3) x 9 = 2 x 3 = 6 triangles;

(iii) 3/5 of squares = (3/5) x 15 = 3 x 3 = 9 squares;

**Question 5 :- Find: **

**(a) 1/2 of (i) 24 ; (ii) 46 ;**

**(b) 2/3 of (i) 18 ; (ii) 27 ;**

**(c) 3/4 of (i) 16 ; (ii) 36 ;**

**(d) 4/5 of (i) 20 ; (iii) 35 ;**

**Solution 5:-**

(a) (i) 1/2 of 24 = (1/2) x 24 = 12 ;

(ii) 1/2 of 46 = (1/2) x 46 = 23 ;

(b) (i) 2/3 of 18 = (2/3) x 18 = 2 x 6 = 12 ;

(ii) 2/3 of 27 = (2/3) x 27 = 2 x 9 = 18;

(c) (i) 3/4 of 16 = (3/4) x 16 = 3 x 4 = 12;

(ii) 3/4 of 36 = (3/4) x 36 = 3 x 9 = 27;

(d) (i) 4/5 of 20 = (4/5) x 20 = 4 x 4 = 16;

(ii) 4/5 of 35 = (4/5) x 35 = 4 x 7 = 28;

**Question 6 :- Multiply and express as a mixed fraction.**

**Solution 6:-**

**Question 7 :- Find:**

**(a)**

**Solution 7:- **

**Question 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?**

**Solution 8:-**

Total water in a bottle = 5 liters;

(i) Water consumed by Vidya = 2/5 of 5 litres

= (2/5) x 5 = 2 litres

water drink by Vidya = 2 litres.

(ii) Water consumed by Patap = 5 litres – 2 litres = 3 litres

Fraction of water consumed by Pratap = 1 – (2/5) = (5-2)/5 = 3/5.

**Chapter-2, Fractions and Decimals, Class-7 Exercise-2.1 for Free**