FRACTIONS AND DECIMALS 33
The shaded portions in Fig 2.1 taken together are the same as the shaded portion in
Fig 2.2, i.e., we get Fig 2.3.
Fig 2.3
or
2 1
4
=^2
4.
Can you now tell what this picture will represent? (Fig 2.4)
Fig 2.4
And this? (Fig 2.5)
Fig 2.5
Let us now find 3 1
2
.
We have
3 1
2
= 111 3
222 2
We also have
111
222
=^111
2
=
31
2
=
3
2
So
3 1
2
=^31
2
=
3
2
Similarly
(^25)
3
=^25
3
=?
Can you tell
3 2
7
=? 4?^3
5
The fractions that we considered till now, i.e.,
(^122) ,,
237 and
3
5 were proper fractions.