FRACTIONS AND DECIMALS 39

The value of

1

3

×

1

2

can be found in a similar way. Divide the whole into two equal

parts and then divide one of these parts in three equal parts. Take one of these parts. This

will represent^1
3 ×

1

2 i.e.,

1

6

.

Therefore
1
3
×
1
2

1
6

11
32





as discussed earlier.

Hence
1
2
×
1
3

1
3
×
1
2

1
6

Find
1
3
×
1
4
and
1
4
×
1
3
;
1
2
×
1
5
and
1
5
×
1
2
and check whether you get

1

3 ×

1

4 =

1

4 ×

1

3 ;

1

2 ×

1

5 =

1

5 ×

1

2

Fill in these boxes:

(i)

1

2 ×

1

7 =

11

27



 = (ii)

1

5 ×

1

7 = =

(iii)

1

7 ×

1

2 = = (iv)

1

7 ×

1

5 = =

Example 6 Sushant reads

1

3 part of a book in 1 hour. How much part of the book

will he read in 21

5

hours?

SOLUTION The part of the book read by Sushant in 1 hour =
1
3
.

So, the part of the book read by him in
21
5
hours =
21
5
×
1
3

11
5
×
1
3

 



11 1

53

=

11

15

Let us now find
1
2
×
5
3

. We know that
5
3
=
1
3
× 5.

So,

1

2 ×

5

3 =

1

2 ×

1

3 × 5 =

1

6

5 5

6



TRY THESE