Question

in school 2/3 of the students study a language. of those who study a language2/5 Study French. find the ratio of students who study French to the students who don’t study French. give your answer in the simplest form

Answer 1

The ratio of students who study French to the students who don’t study French is
`(4)/(11)`

Explanation:

2/3 of the students study a language. Of those, 2/5 study french:

So the proportion of students who study French is given by:

`(2)/(3) * (2)/(5) = (2*2)/(3*5) = (4)/(15)`

Proportion of students who dont study French:

`1 - (4)/(15) = (15-4)/(15) = (11)/(15)`

Ratio of students who study French to the students who don’t study French.

Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So

`((4)/(15))/((11)/(15)) = (4)/(15) * (15)/(11) = (4)/(11)`

The ratio of students who study French to the students who don’t study French is
`(4)/(11)`