Question

What fraction is equal to 50% of 1/3?​

Answer 1

`(1)/(6)`

Explanation:

The concept of percent means parts per 100. So 50% would be 50 out of 100 or
`(1)/(2)`.

You need to find
`(1)/(2)` of
`(1)/(3)`.

Conceptually that would mean breaking
`(1)/(3)` into
`(0.5)/(3)` and
`(0.5)/(3)`

But it doesn't make much sense to have a decimal over a fraction, so both the numerator and denominator could be doubled to get rid of the decimal.
`0.5` doubled is
`1`, and
`3` doubled is
`6`

This results in
`(1)/(6)`

Or it could be found by multiplication

`(1)/(2)` ×
`(1)/(3)`

Answer 2

⅙

Explanation:

50% of ⅓

50/100 × ⅓

½ × ⅓ = ⅙