Question

Of the students in Juanita’s school, 4/5 ride the bus to school most days. Of those who ride the bus, 1/2 are in the seventh grade.

A.
What fraction of the students in Juanita’s school are seventh graders who ride the bus to school most days? Write your answer in lowest terms (simplest form)

Answer 1

`\displaystyle (2)/(5)`

Explanation:

Independent Events

We call two events are independent when the occurrence of one of them doesn't affect the occurrence of the other event.

We have two independent events: 4/5 of the students in Juanita’s school ride the bus to school most days. 1/2 of them are in the seventh grade. The combined proportion of both situations happening is the product of both fractions: i.e.

`\displaystyle (4)/(5)\ .\ (1)/(2)=(4)/(10)`

Simplifying the resultant fraction

`=\displaystyle (2)/(5)`