Question

Descending order of 5/4,3/12,1/3,4/15

Answer 1

Step-by-step explanation:

(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 2

Answer:

5/4>1/3>4/15>3/12 this is the descending order of 5/4,3/12,1/3,4/15