7 /m-6 - m /6-m?

Question

a. 7-m /m-6
b. m+7 /m-6
c. m-7 /m-6
d. 7 /6-m

Answer 1

If you mean:

7/(m - 6) - m/(6 - m)

Then you can also write that as:

7/(m - 6) - m/((-1)(m - 6))

Then you can take the -1 in the denominator and put it in the numerator (since 1/-1 = -1/1):

7/(m - 6) - (-m)/(m - 6)

Now you can combine:

(7 - (-m))/(m - 6)

(7 + m)/(m - 6)

That's choice b.

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PS: I am NOT thumbs-downing all answers but my own. Someone is going through all my answers and doing that to make it look like I am doing it.

Answer 2

7/(m-6) -m/(6-m)
=7(m-6) + m/(m-6)
=(7+m)/(m-6)
Hence b is correct