Question

In a class, one-third of the pupils are girls, and five-ninths of the girls are boarders. None of the boys are boarders. What fraction of the class are boarders?

a. One-third
b. Five twenty-sevenths
c. Five forty-fifths
d. Five-ninths

Answer 1

To determine the fraction of boarders in the class, multiply the fraction of girls (one-third) by the fraction of those girls who are boarders (five-ninths), resulting in five twenty-sevenths of the class being boarders.

Step-by-step explanation:

To find out what fraction of the class are boarders, we start by knowing that one-third of the pupils are girls. It is then stated that five-ninths of these girls are boarders. Importantly, no boys are boarders. To calculate the fraction of boarders in the class, we multiply the fraction of girls in the class by the fraction of those girls who are boarders: × = . When simplified, this calculates to = five twenty-sevenths. Therefore, the fraction of the class that are boarders is five twenty-sevenths.