Use the additive inverse to find -12 2/3 -(-8 5/6) write the answer as a mixed number
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.
To find the sum of -12 2/3 and -(-8 5/6) using the additive inverse, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-12 2/3 = -((3 * 12) + 2) / 3 = -38/3
-(-8 5/6) = -(-(6 * 8) + 5) / 6 = -(