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
[tex]Arts = \frac{4}{9}\ hours[/tex]
[tex]Maths = \frac{2}{9}\ hours[/tex]
Convert fraction to decimal
[tex]Arts = \frac{4}{9}\ hours[/tex]
[tex]Arts = 0.444\ hours[/tex]
[tex]Maths = \frac{2}{9}\ hours[/tex]
[tex]Maths = 0.222\ hours[/tex]
By comparison:
[tex]0.444 > 0.222[/tex]
Hence, Arts take longer
Solving (b): How much longer?
To do this, we calculate the difference.
[tex]Difference = Arts - Maths[/tex]
[tex]Difference = \frac{4}{9} - \frac{2}{9}[/tex]
Take L.C.M
[tex]Difference = \frac{4 - 2}{9}[/tex]
[tex]Difference = \frac{2}{9}\ hours[/tex]
