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 [tex]m-\dfrac{3}{4}m-\dfrac{1}{2}=2+\dfrac{1}{4}m.[/tex]
Here you have fractions
[tex]\dfrac{3}{4},\ \dfrac{1}{2},\ \dfrac{1}{4}[/tex]
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
