# Exercise 2.1

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

(i) 2x

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

### a

(a) 7x

Convert to Mixed Fraction:

21÷5=

4 x

### b

(b) 4x

Convert to Mixed Fraction:

4÷3=

1x

### c

(c) 5x

Convert to Mixed Fraction:

10 ÷ 9 =

1x

### d

(d)11x

Convert to Mixed Fraction:

44 ÷ 7 =

6x

### e

(e)20x

80 ÷ 5 =

Convert to Mixed Fraction:

(16 is an integer, no need to convert).

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**4.Match the following:**

## Matching

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**5. Find:**

### a

(1)

(2)

### b

(1)

18x

(2)

27 x

### c

(1)

16x

(2)

36 x

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

### a

(a)3 x 5x

15x

### b

(b)5 x 6 x

=30 x

=

### c

(c)3 x

3 x 8 =

24 x

So, we write the mixed fraction as:

### d

(d)3 x

1.Multiply the whole numbers: 3 x 6 =

2.Multiply the result by the fraction: 18 x

3.Convert to a mixed fraction:

Divide 9 by 2: 9÷2=4 remainder 1

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**7.Find:**

### a

(a)

1.Multiply: 2 x

2.Find

(b)

1.Multiply: 4x

2.Find

### b

(a)

1.Multiply: 3x

2.Find

(b)

1.Multiply: 9x

2.Find

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**8. Vidya and Pratap went for a picnic. Their mother gave them a water bottle thatcontained 5 litres of water. Vidya consumed **

### a

Solution:

Given:

1.Vidya drank

2.We need to find how much water Vidya drank.

3.We need to determine the fraction of water Pratap drank.

**(i) How much water did Vidya drink?**

step 1: Calculate

Therefore, Vidya drank 2liters of water.

### b

**(ii) What fraction of the total quantity of water did Pratap drink?**

step 1: Calculate the fraction of water Pratap drank:

Fraction=

=

Therefore, Pratap drank