Question

Find the sum of -2 9/10 and -5 4/15. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.

Answer 1

-7 1/6

Explanation:

The sum of -2 9/10 and -5 4/15 is -7 1/6. When we convert these fractions into improper fractions, they become -29/10 and -64/15. Now, we must make the denominator of each fraction equal to one another. Therefore, we must multiply -29/10 x 3 and -64/15 x 2 to get the denominator the same. The final answer is 215/30 which simplified is -7 1/6.

Answer 2

`(-215)/(30)`

Explanation:

Given
`-2(9)/(10) \ and\ -5(4)/(15)`

on solving this mixed fraction we get;

`-(29)/(10)\ and\ -(64)/(15)`

Now adding these fractions by same denominator method.

`-(29*3)/(10*3) +[-(64*2)/(15*2) ]\-(87)/(30) +[-(128)/(30)]\ = -(215)/(30)`