Exercise 6.4
1. Write the proper
symbol from
Answer:
i. 3/5 > 2/5
ii. 2/8 > 1/8
iii. 2/11 < 10/11
iv. 3/15 10/30
Multiples of 15 = 15, 30, 45, 60
Multiples of 30 = 30, 60, 90
Common denominator = 30
3×2 / 15×2 = 6/30, 10×1 / 30×1 = 10/30
6/30< 10/30
Answer: 3/15
< 10/30
v. 3/8 3/7
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56
Common denominator = 56
3×7 / 8×7 = 21/56, 3×8 / 7×8 = 24/56
21/56 < 24/56
Ans 3/8
< 3/7
vi. 4/7 4/11
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56…, 77
Multiples of 11= 11, 22, 33, 44, 55, 77
Common denominator = 77
4×11 / 7×11= 44/77, 4×7 / 11×7 = 28/77
44/77 > 28/77
Answer: 4/7
> 4/11
vii. 5/12 1/6
Multiples of 12 = 12, 24, 36
Multiples of 6 = 6, 12, 18, 24, 30
Common denominator = 12
5×1/ 12×1 = 5/12, 1×2 / 6×2 = 2/12
5/12 > 2/12
Answer: 5/12
> 1/6
viii. 4/9 = 4/9
ix. 3/7 5/9
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63
Common denominator = 63
3×9 / 7×9 = 27/63, 5×7 / 9×7 = 35/63
27/63 < 35/63
Answer: 3/7
< 5/9
x. 4/11 1/5
Multiples of 11=11, 22, 33, 44, 55
Multiples of 5= 5, 10, 15, 25, …..55
Common denominator = 55
4×5 / 11×5 = 20/55, 1×11 / 5×11 = 11/55
20/55 > 11/55
Answer: 4/11
> 1/5
Answer:
Exercise 6.4
1. (i) > (ii) > (iii) < (iv) < (iv)
< (vi) > (vii) > (viii) = (ix) < (x) >
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