Question

Which pair of fractions are proportional? A)36/54 and 6/9 B)6/7and 16/21 C) 21/36and 21/42 D) 14/35 and 21/42

Answer 1

The answer is A. 36/54 and 6/9.

Answer 2

Option A

Answer:

`(36)/(54) \text { and } (6)/(9)` are proportional.

Solution:

If two fractions are equal, than it is said to be in proportion.

Case 1:

Consider option A

Given fractions are
`(36)/(54) \text { and } (6)/(9)`

`(36)/(54)=(9 * 2 * 2)/(9 * 2 * 3)=(2)/(3) \text { and } (6)/(9)=(2 * 3)/(3 * 3)=(2)/(3)`

Hence both the fractions are equal. So they are propotional.

Case 2:

Consider option 2

Given fractions
`(6)/(7) \text { and } (16)/(21)` cannot be simplified further. Also both the fractions are not equal. So they are not propotional.

Case 3:

Consider option 3

Given fractions are
`(21)/(36) \text { and } (21)/(42)`

`(21)/(36)=(7 * 3)/(6 * 6)=(7)/(12) \text { and } (21)/(42)=(7 * 3)/(6 * 7)=(1)/(2)`

Hence
`(7)/(12) \text { and } (1)/(2)` are not equal. Hence they are not propotional.

Case 4:

Consider option 4

Given fractions are
`(14)/(35) \text { and } (21)/(42)`

`(14)/(35)=(7 * 2)/(7 * 5)=(2)/(5) \text { and } (21)/(42)=(7 * 3)/(7 * 6)=(1)/(2)`

Hence
`(2)/(5) \text { and } (1)/(2)` are not equal. Hence they are not propotional.

The answer for the given question is option A