Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
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9514 1404 393

  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

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