Question

Solve five-twelfths m plus two-thirds equals negative three-fourths for m.

Answer 1

5/12m + 2/3 = -3/4m

there are a couple of ways to do this....either work it out with the fractions in it, or get rid of the fractions by multiplying the equation by the common denominator.
I suggest the second way, but either way should get you to the same correct answer.

5/12m + 2/3 = -3/4m -- multiply by common denominator, which is 12.
giving us :
5m + 8 = - 9m -- subtract 5m from both sides
8 = -9m - 5m
8 = - 14m
-8/14 = m -- reduce
- 4/7 = m

OR
5/12m + 2/3 = -3/4m -- subtract 5/12m from both sides
2/3 = -3/4m - 5/12m
2/3 = -9/12m - 5/12m
2/3 = - 14/12m
(2/3) / (-14/12) = m
2/3 * - 12/14 = m
- 24/42 = m -- reduce
- 4/7 = m

either way, you will arrive at the same answer

any questions ?