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

- 7 23/30

Step-by-step explanation:

-2 5/10 + - 5 4/15

First simplify the fractions if possible

-2 1/2 + - 5 4/15

Then, we need to get a common denominator

The common denominator in this case is 30

-2 1/2*15/15 + - 5 4/15*2/2

-2 15/30 + - 5 8/30

Since the signs are alike we add

First the whole numbers

2+5 = 7

Then the fractions

15/30+8/30 = 23/30

Add the fraction and the whole number together

7 23/30

Take the sign

- 7 23/30

If the fraction was improper, we would change it to a mixed number and add the whole numbers together