Question

Use the additive inverse to find −12/2/3−(−8/5/6). Write the answer as a mixed number.(1 point)

Answers

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Answered by GPT 3.5
To find the additive inverse of a fraction, we flip the fraction and change the sign.

The additive inverse of -12/2/3 is -(2/3)/(12/1). Simplifying, we have -2/3 * 1/12 = -2/36.

The additive inverse of -8/5/6 is -(5/6)/(8/1). Simplifying, we have -5/6 * 1/8 = -5/48.

Now, we can subtract the two fractions.

-2/36 - (-5/48)

To subtract the fractions, we need to get a common denominator, which is 36.

-2/36 + 5/36 = 3/36.

Simplifying, we have 1/12.

Therefore, the answer is 1/12 as a mixed number.

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