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 of a number, we change the sign of the number.

First, let's convert −12 2/3 and −8 5/6 to improper fractions:

−12 2/3 = - (12 * 3 + 2) / 3 = -38/3
−8 5/6 = - (8 * 6 + 5) / 6 = -53/6

Now, we can subtract these two fractions:

-38/3 - (-53/6)

To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 6 is 6.

Now, we can rewrite the fractions with the common denominator:

-38/3 - (-53/6) = -76/6 + 106/6

Subtracting the fractions:

-76/6 + 106/6 = 30/6 = 5

So, the answer is 5.