Question

Which Ratios form a proportion?

A.4/9 and 9/4
B4/11 and 6/13
C.4/10 and 10/25
D.3/5 and 9/25

Answer 1

`(4)/(10) \text { and } (10)/(25)`

Explanation:

(A)
`(4)/(9) \text { and } (9)/(4)`

When cross multiply the fractions, we get

⇒ 4 × 4 = 9 × 9

⇒ 16 ≠ 36

So,
`(4)/(9) \text { and } (9)/(4)` do not form a proportion.

(B)
`(4)/(11) \text { and } (6)/(13)`

When cross multiply the fractions, we get

⇒ 4 × 13 = 6 × 11

⇒ 52 ≠ 66

So,
`(4)/(11) \text { and } (6)/(13)` do not form a proportion.

(C)
`(4)/(10) \text { and } (10)/(25)`

When cross multiply the fractions, we get

⇒ 4 × 25 = 10 × 10

⇒ 100 = 100

So,
`(4)/(10) \text { and } (10)/(25)` form a proportion.

(D)
`(3)/(5) \text { and } (9)/(25)`

When cross multiply the fractions, we get

⇒ 3 × 25 = 9 × 5

⇒ 75 ≠ 45

So,
`(3)/(5) \text { and } (9)/(25)` do not form a proportion.