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

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

∵ 8 = 2 × 2 × 2,

16 = 2 × 2 × 2 × 2

12 = 2 × 2 × 3

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

Now,

$\frac{5}{8} = \frac{5\times 6}{8\times 6}=\frac{30}{48}$

$\frac{9}{16}=\frac{9\times 3}{16\times 3}=\frac{27}{48}$

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

Since,

$\frac{20}{48}<\frac{27}{48}<\frac{30}{48}$

$\implies \frac{5}{12}<\frac{9}{16}<\frac{5}{8}$

Hence, OPTION B is correct.