Answer:
[tex]8\frac{31}{40}[/tex]
Step-by-step explanation:
In representing mixed numbers on a number line, we need first to pay attention to the denominators. Here, denominators are 8 and 5, their least common multiple is 40, so, we will need to cut up space between two numbers on the number line on 40 pieces. Also, we have 5 and 3 wholes at these mixed numbers, so, our answer is going to be greater than 8.
We will cut the space between 8 and 9 on a number line on 40 pieces, and we will add [tex]\frac{3}{8}[/tex] and [tex]\frac{2}{5}[/tex] and get :
[tex]\frac{3}{8} +\frac{2}{5} = \frac{15}{40} +\frac{16}{40} =\frac{31}{40}[/tex]
So, on a number line between 8 and 9 we need to count 31 out of 40 pieces and that is the result, 8 wholes and [tex]\frac{31}{40}[/tex].
