Question

Which ratios are equal to each other? A. 1 : 16 and 2 : 8 B. 2 : 32 and 4 : 8 C. 1 : 64 and 4 : 16 D. 1 : 16 and 4 : 64

Answer 1

the answer to the question is d

Answer 2

D. 1:16 and 4:64

Explanation:

a ratio in the form
`A:B` is the same as
`(A)/(B)`, we can simplify the quantities to a fraction that has a numerator of one and thus compare if they are equal or not:

• A. 1:16 and 2:8

`(1)/(16)` already has a numerator of one, and
`(2)/(8)` if you divide numerator and denominator by two, you get
`(1)/(4)`, and since

`(1)/(16)` ≠
`(1)/(4)`, these two ratios are not equal.

• B. 2:32 and 4:8

We divide the numerator and denominator of
`(2)/(32)` by two to get a numerator of one:
`(1)/(16)` and for the second ratio
`(4)/(8)` we divide by four:
`(1)/(2)` and since

`(1)/(16)` ≠
`(1)/(2)`, these two ratios are not equal.

• C. 1:64 and 4:16

`(1)/(64)` already has a numerator of one, and
`(4)/(16)` if you divide numerator and denominator by four, you get
`(1)/(4)`, and since

`(1)/(64)` ≠
`(1)/(4)`, these two ratios are not equal.

• D. 1:16 and 4:64

`(1)/(16)` already has a numerator of one, and
`(4)/(64)` if you divide numerator and denominator by four, you get
`(1)/(16)`, and since

`(1)/(16)` =
`(1)/(16)`, these two ratios are equal.

the answer is D. 1:16 and 4:64