Mathematics: 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?

If the 2 lines are parallel then the corre. angles are congruent...

Your teacher will grade your response for questions

xmiice1981

16.03.2022

(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

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

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

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