NCERT Class 7 Mathematics

34 MATHEMATICS

For improper fractions also we have,

2 5

3

 =^25

3



=

10

3

Try,

3 8

7

 =? 4 7

5

 =?

Thus, to multiply a whole number with a proper or an improper fraction, we

multiply the whole number with the numerator of the fraction, keeping the

denominator same.

1. Find: (a)

(^23)
7
 (b)^96
7
 (c) 3 1
8
 (d)^136
11

If the product is an improper fraction express it as a mixed fraction.

2. Represent pictorially :^2

2

5

4

5



To multiply a mixed fraction to a whole number, first convert the

mixed fraction to an improper fraction and then multiply.

Therefore,

325

7

 = 3 19

7

 =^57

7 =

81

7.

Similarly,

242

5

 = 2 22

5

 =?

Fraction as an operator ‘of’

Observe these figures (Fig 2.6)

The two squares are exactly similar.

Each shaded portion represents

1

2 of 1.

So, both the shaded portions together will represent

1

2 of 2.

Combine the 2 shaded

1

2 parts. It represents 1.

So, we say

1

2 of 2 is 1. We can also get it as

1

2 × 2 = 1.

Thus,

1

2 of 2 =

1

2 × 2 = 1

TRY THESE

TRY THESE

Find: (i)
523
7



(ii)

164

9



Fig 2.6