Answer:
The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]
Step-by-step 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:
[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]
Proportion of students who dont study French:
[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]
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
[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]
The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]
