Question

Which two ratios form a proportion? A 1/ 2 and 4/2 B.2/1 and 4/8 C.1/2 and 8/4 D.2/1 and 16/8

Answer 1

Option D

Explanation:

LEts check each option

Simplify the fraction and check whether they are equal

Option A:
`(1)/(2) =(4)/(2)`

`(1)/(2) =2`. they are not equal

Option B:
`(2)/(1) =(4)/(8)`

`(2)/(1) =(1)/(2)`. they are not equal

Option C:
`(1)/(2) =(8)/(4)`

`(1)/(2) =(2)/(1)`. they are not equal

Option D:
`(2)/(1) =(16)/(8)`

`(2)/(1) =(2)/(1)`. they are equal

Answer 2

Two ratios form a proportion if they are equal. If one fraction is equivalent to the other fraction, they form a proportion. To find out, reduce both fractions and see if they are equal.

A

1/2 and 4/2

Reduce 4/2 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 4/2 do not form a proportion.

B

2/1 and 4/8

Reduce 4/8 to 1/2.

2/1 and 1/2 are not equal.

2/1 and 4/8 do not form a proportion

C

1/2 and 8/4

Reduce 8/4 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 8/4 do not form a proportion

D

2/1 and 16/8

Reduce 16/8 to 2/1

2/1 and 2/1 are equal.

2/1 and 16/8 form a proportion.

Answer: D. 2/1 and 16/8