Question

5. Arrange the fallowing rational numbers in ascending order:
-3/4 , 5/-12 , -7/16 , 9/-24
​

Answer 1

Answer:

9/-24, 5/-12, - 7/16, - 3/4

Answer 2

Answer:

LCM of 4 12 16 and 24 = 48

Now,

$= \frac{ - 3}{ \: 4 } = \frac{ - 3 \times 12}{ \: \: 4 \times 12} = \frac{ - 36}{ \: \: 48}$

$= \frac{- 5}{12} = \frac{ - 5 \times 4}{ \: \: 12 \times 4} = \frac{ - 20}{ \ \: 48}$

$= \frac{ - 7}{ \: 16} = \frac{ - 7 \times 3}{ \: 16 \times 3} = \frac{ - 21}{ \: \: 48}$

$= \frac{ - 9}{ \: 24} = \frac{ - 9 \times 2}{ \: 24 \times 2} = \frac{ - 18}{ \: \: 48}$

$= \frac{ - 36}{ \: \: 48} < \frac{ - 21}{ \: \: 48} < \frac{ - 20}{ \: \: 48} < \frac{ - 18}{ \: \: \: 48}$

Therefore, Ascending order is

-3/4 , -7/16 , 5/-12 , 9/-24