Question

Use the additive inverse to find -12 2/3 minus -8 and 56 write the answer as a mixed number

Answer 1

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

The additive inverse of -12 2/3 is 12 2/3.
The additive inverse of -8 and 56 is 8 and 56.

Now, we can find the difference by adding the numbers:
12 2/3 + 8 and 56

To add mixed numbers, we need to have the same whole numbers and the same fraction denominators.

12 2/3 + 8 and 56 can be converted to the same denominator by multiplying the whole number part by 3 and adding it to the numerator.

Therefore, 12 2/3 becomes (12 * 3 + 2)/3 = 38/3.
8 and 56 remains the same.

Now, we can add the fractions:
38/3 + 8 and 56 = (38/3) + (8 and 56/1)

To add these fractions, we need a common denominator which is 3. So, we multiply 8 and 56 by 3 just like we did with 12 in the previous step:
(38/3) + (8 * 3 and 56 * 3)/3 = (38/3) + (24 and 168/3)

Now, we can add the fractions:
(38/3) + (24 and 168/3) = (38 + 24) and (168/3) = 62 and (168/3)

To write this as a mixed number, we divide the numerator by the denominator:
168/3 = 56 with a remainder of 0.

Therefore, -12 2/3 minus -8 and 56 is equal to 62.