Question

Of the students that took a survey about after school activities,33 1/3 % said they watch television, 1/2 said they go to sports practice and the remaining said they do homework. What fraction represents the students that go homework.

Answer 1

The fraction that represents the proportion of students that go make their homework is 1/6

Explanation:

The sum of the percentage of students is 100% = 1.

In this problem, we have that:

1/3 said they watch television

1/2 said they go to sports practice

x said they do homework.

This is a sum of fractions, and the lesser common multiple of 3 and 2 is 6.

So

`(1)/(3) + (1)/(2) + x = 1`

`(2 + 3 + 6x)/(6) = 1`

`5 + 6x = 6`

`6x = 1`

`x = (1)/(6)`

The fraction that represents the proportion of students that go make their homework is 1/6