Question

Use the additive inverse to find -12 3/4 minus --8 5/6 right answers in mixed number

Answer 1

To find the difference between -12 3/4 and --8 5/6, we can rewrite the subtraction problem using the additive inverse.

The additive inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5, since 5 + (-5) = 0.

In this case, we need to find the additive inverse of --8 5/6. To do this, we can change the sign of the whole number and fraction:

--8 5/6 becomes 8 5/6.

Now, we can rewrite the subtraction problem as the addition problem -12 3/4 + 8 5/6.

To add mixed numbers, we need to find a common denominator. In this case, the least common multiple of 4 and 6 is 12.

Let's convert both mixed numbers to fractions with a denominator of 12:

-12 3/4 = -51/4 (multiply 4 by 3 and add -12)
8 5/6 = 53/6 (multiply 6 by 8 and add 5)

Now, we can add the fractions:

-51/4 + 53/6

To add fractions, we need a common denominator. In this case, the common denominator is 12.

Let's convert both fractions to have a denominator of 12:

-51/4 = -153/12 (multiply 4 by 3 and multiply -51 by 3)
53/6 = 106/12 (multiply 6 by 2 and multiply 53 by 2)

Now, we can add the fractions:

-153/12 + 106/12 = -47/12

So, -12 3/4 minus --8 5/6 is equal to -47/12.