Question

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

Answer 1

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

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

Given the expression -12 2/3 -(-8 5/6), we can rewrite it as:

12 2/3 + 8 5/6.

Now, let's add the two mixed numbers.

First, we add the whole numbers: 12 + 8 = 20.

Next, we add the fractions: 2/3 + 5/6.

To add these fractions, we need a common denominator, which is 6:

2/3 = 4/6

Now we can add the fractions:

4/6 + 5/6 = 9/6.

Since 9/6 = 1 3/6, we can simplify further:

1 3/6 = 1 1/2.

So, -12 2/3 -(-8 5/6) is equal to 20 1/2.