Question

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

Answer 1

Answer:

(a) Arts take longer

(b) By 2/9 hours

Step-by-step explanation:

Given

Arts = four over nine hours

Maths = two over nine hours

Solving (a): Which takes longer?

First, represent both as fraction

$Arts = \frac{4}{9}\ hours$

$Maths = \frac{2}{9}\ hours$

Convert fraction to decimal

$Arts = \frac{4}{9}\ hours$

$Arts = 0.444\ hours$

$Maths = \frac{2}{9}\ hours$

$Maths = 0.222\ hours$

By comparison:

$0.444 > 0.222$

Hence, Arts take longer

Solving (b): How much longer?

To do this, we calculate the difference.

$Difference = Arts - Maths$

$Difference = \frac{4}{9} - \frac{2}{9}$

Take L.C.M

$Difference = \frac{4 - 2}{9}$

$Difference = \frac{2}{9}\ hours$