Question

Use additive inverse to find -12 2/3- (-8 ,5/6)

Answer 1

To find the sum of -12 2/3 and -8 5/6 using additive inverse, we first need to convert both numbers to their improper fraction form.

Converting -12 2/3 to an improper fraction:
-12 * 3 = -36
-36 + 2 = -34
-34/3

Converting -8 5/6 to an improper fraction:
-8 * 6 = -48
-48 + 5 = -43
-43/6

Now we can use additive inverse by changing the sign of the second fraction and adding both fractions:

-34/3 + (-(-43/6))

When we multiply the negative sign inside the parentheses, it changes the sign of the second fraction:

-34/3 + (43/6)

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

-34/3 * 2/2 = -68/6

Now we can add the fractions:

-68/6 + 43/6 = -25/6

So, -12 2/3 - (-8 5/6) is equal to -25/6.