Question

Arrange the following fractions in descending order.
1/6, 2/9, 2/3 ,1/2​

Answer 1

Step-by-step explanation:

For making them in descending order first we have to make their denominator equal with the help of their LCM.

$denominators \: \: of - \\ \\ \frac{1}{6} = 6 \\ \frac{2}{9} = 9 \\ \frac{2}{3} = 3 \\ \frac{1}{2} = 2$

LCM of 6,9,3 and 2 is 18

So now let us make the denominator same and according to it we have to multiply tha same number that we have mulitiped to the denominator to the numerator also

$\frac{1}{6} \times \frac{3}{3} = \frac{3}{18} \\ \\ \frac{2}{9} \times \frac{2}{2} = \frac{4}{18} \\ \\ \frac{2}{3} \times \frac{6}{6} = \frac{12}{18} \\ \\ \frac{1}{2} \times \frac{9}{9} = \frac{9}{18}$

So we can now put these fractions in descending order.

Normal- 3/18 (1/6), 4/18 (2/9), 12/18 (2/3), 9/18 (1/2)

Descending order- 12/18(2/3), 9/18(1/2), 4/18(2/9) and 3/18(1/6).

Answer 2

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