Page 69 - Start Up Mathematics_5

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Example 6: Put the correct sign <, > or = in 1 1 .
4 5
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Solution: 1 = (1 × 4) + 3 = 4 + 3 = 7 Alternate Method
4 4 4 4
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1 = (1 × 5) + 3 = 5 + 3 = 8 Since the whole part of both the mixed
fractions is same, we compare only their
5 5 5 5 fractional parts.
7 8 3 3
4 5
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5
7 × 5 = 35 4 × 8 = 32 3 × 5 = 15 4 × 3 = 12
35 > 32 15 > 12
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8
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So, 7 > or 1 > 1 . 3 3 3 3
4 5 4 5 So, > or 1 > 1 .
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EXERCISE 4.1

1. Compare the following fractions by LCM method.

(a) 4 and 5 (b) 7 and 8 (c) 14 and 9
7 9 11 15 25 15
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(d) 21 and 17 (e) 30 and 17 (f) 4 and 4 3
32 26 23 7 7 5
(g) 11 and 8 (h) 7 and 4 (i) 5 and 8
15 13 10 9 7 17
2. Compare the following fractions by cross-multiplication method.

(a) 3 and 5 (b) 9 and 11 (c) 15 and 17
8 7 13 14 24 32

(d) 13 and 17 (e) 31 and 28 (f) 6 5 and 5 8
18 47 52 36 11 13
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(g) 4 and 6 (h) 5 and 11 (i) 2 and 8 7
7 13 9 14 5 9

3. Put the correct sign >, < or =.

(a) 7 21 (b) 6 11 (c) 38 16
8 24 19 15 45 35
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(d) 2 19 (e) 8 17 (f) 8 9 8 6
8 25 12 27 14 15

(g) 4 and 13 (h) 31 and 17 (i) 3 5 and 4 7
9 17 39 21 16 11

Ordering of Like Fractions
We can compare like fractions by comparing their numerators. Fractions with bigger
numerators are bigger.

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