Question

Your teacher will grade your response for questions 21–23 to ensure you receive proper credit for your answer.

It takes Nadia four over nine h to complete her Language Arts homework and two over nine h to complete her mathematics homework. Which takes longer? How much longer?

Answer 1

(a) Arts take longer

(b) By 2/9 hours

Explanation:

Given

Arts = four over nine hours

Maths = two over nine hours

Solving (a): Which takes longer?

First, represent both as fraction

`Arts = (4)/(9)\ hours`

`Maths = (2)/(9)\ hours`

Convert fraction to decimal

`Arts = (4)/(9)\ hours`

`Arts = 0.444\ hours`

`Maths = (2)/(9)\ hours`

`Maths = 0.222\ hours`

By comparison:

`0.444 > 0.222`

Hence, Arts take longer

Solving (b): How much longer?

To do this, we calculate the difference.

`Difference = Arts - Maths`

`Difference = (4)/(9) - (2)/(9)`

Take L.C.M

`Difference = (4 - 2)/(9)`

`Difference = (2)/(9)\ hours`