**NCERT Answers for Class 7 Maths**

Chapter 2 Fractions and Decimals Exercise 2.2

Chapter 2 Fractions and Decimals Exercise 2.2

Chapter 2 Exercise 2.1 |

**Page 36-37**

**Ex 2.2 Class 7 Maths Question 1. Which of the drawings (a) to (d) show:**

**Answer**

(i) 2 × (1/5) represents the addition of 2 figures, each represents 1 shaded part out of the given 5 equal parts. Therefore 2 × (1/5) is represented by fig (d).

(ii) 2 × ½ represents the addition of 2 figures, each represents 1 shaded part out of the given 2 equal parts. Therefore 2 × ½ is represented by fig (b).

(iii) 3 × (2/3) represents the addition of 3 figures, each represents 2 shaded part out of the given 3 equal parts. Therefore 3 × (2/3) is represented by fig (a).

(iii) 3 × ¼ represents the addition of 3 figures, each represents 1 shaded part out of the given 4 equal parts. Therefore 3 × ¼ is represented by fig (c).

**Ex 2.2 Class 7 Maths Question 2. Some pictures (a) to (c) are given below. Tell which of them show:**

**Answer**

(i) 3 × (1/5) represents the addition of 3 figures, each represents 1 shaded part out of the given 5 equal parts and (3/5) represents 3 shaded parts out of 5 equal parts.

Therefore 3 × (1/5) = (3/5) is represented by fig (c).

(ii) 2 × (1/3) represents the addition of 2 figures, each represents 1 shaded part out of the given 3 equal parts and (2/3) represents 2 shaded parts out of 3 equal parts.

Therefore 2 × (1/3) = (2/3) is represented by fig (a).

(iii) 3 × (3/4) represents the addition of 3 figures, each represents 3 shaded part out of the given 4 equal parts and 2 ¼ represents 2 fully and 1 figure having 1 part as shaded out of 4 equal parts.

Therefore 3 × (3/4) = 2 ¼ is represented by fig (b).

**Ex 2.2 Class 7 Maths Question 3. Multiply and reduce to lowest form and convert into a mixed fraction:**

**Answer**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (7/1) × (3/5)

= (7 × 3)/ (1 × 5)

= (21/5)

=

**(ii) 4 × (1/3)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (4/1) × (1/3)

= (4 × 1)/ (1 × 3)

= (4/3)

=

**(iii) 2 × (6/7)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (2/1) × (6/7)

= (2 × 6)/ (1 × 7)

= (12/7)

=

**(iv) 5 × (2/9)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (5/1) × (2/9)

= (5 × 2)/ (1 × 9)

= (10/9)

=

**(v) (2/3) × 4**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (2/3) × (4/1)

= (2 × 4)/ (3 × 1)

= (8/3)

=

**(vi) (5/2) × 6**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (5/2) × (6/1)

= (5 × 6)/ (2 × 1)

= (30/2)

= 15

**(vii) 11 × (4/7)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (11/1) × (4/7)

= (11 × 4)/ (1 × 7)

= (44/7)

=

**(viii) 20 × (4/5)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (20/1) × (4/5)

= (20 × 4)/ (1 × 5)

= (80/5)

= 16

**(ix) 13 × (1/3)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (13/1) × (1/3)

= (13 × 1)/ (1 × 3)

= (13/3)

=

**(x) ****15 × (3/5)**

**Solution:-**

By the rule Multiplication of fraction,

Product of fraction = (product of numerator)/ (product of denominator)

Then,

= (15/1) × (3/5)

= (15 × 3)/ (1 × 5)

= (45/5)

= 9

**Ex 2.2 Class 7 Maths Question 4. ****(i) ½ of the circles in box (ii) 2/3 of the triangles in box ****(iii) 3/5 of the squares in the box**

**Answer**

Firstly, count the number of circles/triangles/squares in given boxes, then take multiplication in place of ‘of and simply shade the circles/triangles/squares equal to number obtained by simplification.

(i) 1/2 of the circles in box (a)

Number of circles = 12

Therefore 1/2 of the circles in box (a) = 1/2 x 12 = 6

Hence, the shaded figure is shown here.

(i) 2/3 of the triangles in box (b)

Number of triangles = 9

Therefore 2/3 of the circles in box (b) = 2/3 x 9 = 6

Hence, the shaded figure is shown here.

(i) 2/3 of the squares in box (c)

Number of triangles = 15

Therefore 3/5 of the squares in box (c) = 3/5 x 15 = 9

Hence, the shaded figure is shown here.

Ex 2.2 Class 7 Maths Question 5. (a) ½ of (i) 24 (ii) 46

**Answer**

(i) 24

We have,

= ½ × 24

= 24/2

= 12

(ii) 46

We have,

= ½ × 46

= 46/2

= 23

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

(i) 18

We have,

= 2/3 × 18

= 2 × 6

= 12

(ii) 27

We have,

= 2/3 × 27

= 2 × 9

= 18

**(c) ¾ of (i) 16 (ii) 36 **

(i) 16

We have,

= ¾ × 16

= 3 × 4

= 12

(ii) 36

We have

= ¾ × 36

= 3 × 9

= 27

**(d) 4/5 of (i) 20 (ii) 35**

(i) 20

We have,

= 4/5 × 20

= 4 × 4

= 16

(ii) 35

We have,

= 4/5 × 35

= 4 × 7

= 28

**Ex 2.2 Class 7 Maths Question 6. Multiply and express as a mixed fraction:**

**Answer**

**Ex 2.2 Class 7 Maths Question 7. find**

**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 liters 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?**

(i) From the question, it is given that,

Amount of water in the water bottle = 5 liters

Amount of water consumed by Vidya = 2/5 of 5 liters

= (2/5) × 5

= 2 liters

So, the total amount of water drank by Vidya is 2 liters

(ii) From the question, it is given that,

Amount of water in the water bottle = 5 liters

Then,

Amount of water consumed by Pratap = (1 – water consumed by Vidya)

= (1 – (2/5))

= (5-2)/5

= 3/5

∴ Total amount of water consumed by Pratap = 3/5 of 5 liters

= (3/5) × 5

= 3 liters

So, the total amount of water drank by Pratap is 3 liters.