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

`8(31)/(40)`

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
`(3)/(8)` and
`(2)/(5)` and get :

`(3)/(8) +(2)/(5) = (15)/(40) +(16)/(40) =(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
`(31)/(40)`.