Question

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

A.2
B.3
C.4
D.5

Answer 1

In order to eliminate the fractions in the equation before solving the equation multiply it by the least common multiple of all denominators.

You are given the equation $m-\dfrac{3}{4}m-\dfrac{1}{2}=2+\dfrac{1}{4}m.$

Here you have fractions

$\dfrac{3}{4},\ \dfrac{1}{2},\ \dfrac{1}{4}$

with denominators 4, 2 and 4, respectively.

The least common multiple is

LCM(4,2,4)=4,

then you should multiply by 4.

Answer: corretc choice is C