Question

In a school,


`(2)/(3)`
of the students study a language.
of those who study a language,

`(2)/(5)` study French.
find the ratio of students who study French to students who do not study French.
give your answer in its simplest form.​

Answer 1

`(2)/(3)\\`

Explanation:

If you have the numbers
`a` and
`b`, the ratio of number
`a` to number
`b` is
`a:b` or
`(a)/(b)\\`.

If
`(2)/(5)\\` of the students who study a language studies French, then the rest of them,
`(3)/(5)\\`, doesn't study French. The ratio of the students who study French to the students who don't study French should be
`(2)/(5) : (3)/(5)\\`.

`(2)/(5) : (3)/(5) \\ ((2)/(5))/((3)/(5)) \\ (2)/(5) \cdot (5)/(3) \\ (10)/(15) \\ (2)/(3)`