Question

I have a question where I need to add the mixed numbers 5 3\8 and 3 2\5 using a model and number line I have absolutely no idea how to do this, can you help me

Answer 1

Answer:

$8\frac{31}{40}$

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 $\frac{3}{8}$ and $\frac{2}{5}$ and get :

$\frac{3}{8} +\frac{2}{5} = \frac{15}{40} +\frac{16}{40} =\frac{31}{40}$

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 $\frac{31}{40}$.