Question

Use the additive inverse to find −24 4/5 - 6 7/10.(1 point)

Answer 1

The additive inverse of a number is the number that, when added to the original number, equals zero.

To find the additive inverse of a mixed number, we can convert it into an improper fraction and then change the sign.

First, let's convert the mixed numbers into improper fractions:

-24 4/5 = -(25*5 + 4)/5 = -129/5
-6 7/10 = -(7*10 + 7)/10 = -77/10

Now, let's find the additive inverse of -6 7/10:
Additive inverse of -77/10 = -(77/10) = -77/10

To find -24 4/5 - 6 7/10, we need to add -129/5 and -77/10:

-129/5 + -77/10 = -(129*2 + 5*77)/(5*10) = -263/10

Therefore, -24 4/5 - 6 7/10 = -263/10.