Q6 Short answer Type questions. Q1. (a) Arrange the following in ascending order with a sign. 2/13, 9/13,6/13, 1/13,7/13,11/13 (b) Arrange the following in descending order. 4/9,1/9,7/9,8/9, 5/9,3/9.
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Answers
Answer:
(i) 5 / 16, 13 / 24, 7 / 8
The given expression can be simplified as follows
LCM of 16, 24, 8 = 2 × 2 × 2 × 2 × 3
= 48
Converting given expression into like fractions, we get
5 / 16 = (5 × 3) / (16 × 3)
= 15 / 48 and
13 / 24 = (13 × 2) / (24 × 2)
= 26 / 48 and
7 / 8 = (7 × 6) / (8 × 6)
= 42 / 48
Hence, fractions in descending order are 7 / 8, 13 / 24, 5 / 16
(ii) 4 / 5, 7 / 15, 11 / 20, 3 / 4
The given expression can be simplified as follows
LCM of 5, 15, 20, 4 = 4 × 5 × 3
= 60
Converting the given expression into like fractions, we get
4 / 5 = (4 ×12) / (5 × 12)
=48 / 60 and
7 / 15 = (7 × 4) / (15 × 4)
= 28 / 60 and
11 / 20 = (11 × 3) / (20 × 3)
= 33 / 60 and
3 / 4 = (3 × 15) / (4 × 15)
= 45 / 60
Hence, fractions in descending order are 4 / 5, 3 / 4, 11 / 20, 7 / 15
(iii) 5 / 7, 3 / 8, 9 / 11
The given expression can be simplified as follows
LCM of 5, 3, 9 = 3 × 3 × 5
= 45
Converting the given expression into like fractions, we get
5 / 7 = (5 × 9) / (7 × 9)
= 45 / 63 and
3 / 8 = (3 × 15) / (8 × 15)
= 45 / 120 and
9 / 11 = (9 × 5) / (11 × 5)
= 45 / 55
The fraction with the smallest denominator is the biggest fraction if the numerator is same
Hence, fractions in descending order are
45 / 55, 45 / 63, 45 / 120 i.e
9 / 11, 5 / 7, 3 / 8
Answer:
a) 1/13 < 2/13 < 6/13 < 7/13 < 9/13 < 11/13.
b) 8/9 > 7/9 > 5/9 > 4/9 > 3/9 > 1/9
Step-by-step explanation:
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