Arrange the following fractions in descending order.
1/6, 2/9, 2/3 ,1/2
Answers
Answer:
2/3 > 1/2 > 2/9 > 1/6
0.6 > 0.5 > 0.22 > 0.16
Step-by-step explanation:
1/6 = 0.16
2/9 = 0.22
2/3 = 0.6
1/2 = 0.5
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