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

4 : 11

Explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11