Question

Which list of numbers is in order from least to greatest?

A) 5/8, 9/16, 8/12
B) 5/12, 9/16, 5/8
C) 9/16, 5/12, 5/8
D) 9/16, 5/8, 5/12

PLEASE HELP ASAP

Answer 1

Answer:B

Explanation:

Answer 2

B) 5/12, 9/16, 5/8

Explanation:

∵ 8 = 2 × 2 × 2,

16 = 2 × 2 × 2 × 2

12 = 2 × 2 × 3

Thus, LCM(8,16,12) = 48,

Now,

`(5)/(8) = (5* 6)/(8* 6)=(30)/(48)`

`(9)/(16)=(9* 3)/(16* 3)=(27)/(48)`

`(5)/(12)=(5* 4)/(12* 4)=(20)/(48)`

Since,

`(20)/(48)<(27)/(48)<(30)/(48)`

`\implies (5)/(12)<(9)/(16)<(5)/(8)`

Hence, OPTION B is correct.