Page 140 - Start Up Mathematics_6

Example 20: Match the equivalent fractions and write one more for each.

350 2
(a) (i) Maths Fun
560 3 Shade part of each square to represent .
1
180 1 4
(b) (ii)
200 2
660 5
(c) (iii)
990 8
180 9
(d) (iv)
360 10

Solution: We first convert the given fractions into equivalent fractions.

350 350 ÷ 70 5 180 180 ÷ 20 9
(a) = = (b) = =
560 560 ÷ 70 8 200 200 ÷ 20 10

660 660 ÷ 330 2 180 180 ÷ 180 1
(c) = = (d) = =
990 990 ÷ 330 3 360 360 ÷ 180 2

Now matching these, we get (a) – (iii), (b) – (iv), (c) – (i), (d) – (ii)
One more equivalent fraction is:

350 35 180 18 660 66 180 18
(a) = (b) = (c) = (d) =
560 56 200 20 990 99 360 36

Like Fractions

1 2 5
Fractions with same denominators are called like fractions. For example, , and
7 7 7
Unlike Fractions

3 2 3
Fractions with different denominators are called unlike fractions. For example, , and
7 5 11
Comparison of Fractions

Case 1: Comparison of like fractions

Like fractions are compared on the basis of the value of the numerator of the fractions.
1 2
7 7
3 4

7 7
5
7
1 2 1 2
It is clear from the above figure that is less than , i.e., < .
7 7 7 7
2 3 2 3 3 4 3 4
Also, is less than , i.e., < and is less than , i.e., < .
7 7 7 7 7 7 7 7

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