9514 1404 393
Answer:
4
Step-by-step explanation:
The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.
-3/4m -1/2 = 2 +1/4m . . . . . . given
-3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)
-10 = 4m . . . . . . . . . . . . . . . . add 3m-8
-5/2 = m . . . . . . . . . . . . . . . . divide by 4
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Check
-3/4(-5/2) -1/2 = 2 + 1/4(-5/2)
15/8 -4/8 = 16/8 -5/8
11/8 = 11/8 . . . . . answer checks OK
