Use the additive inverse to find -12 2/3 -(-8 5/6) write the answer as a mixed number

Answer 1

To find the additive inverse, we change the sign of the number.

The additive inverse of -12 2/3 is 12 2/3.

-(-8 5/6) is equivalent to +8 5/6.

Now we can subtract:

12 2/3 - 8 5/6

First, let's find a common denominator for the fractions:

The denominators are 3 and 6, and the smallest number that both 3 and 6 divide into evenly is 6.

Next, we convert the fractions to have a denominator of 6:

12 2/3 is equivalent to 11 4/6.

8 5/6 stays the same.

Now we can subtract:

11 4/6 - 8 5/6 = 3 - 4/6 = 3 - 2/3 = 2 1/3

Therefore, -12 2/3 - (-8 5/6) is equal to 2 1/3 as a mixed number.