Answer:
4
Step-by-step explanation:
The given fraction is
[tex] - \frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4}m [/tex]
To clear the fraction, we need to multiply through by the LCM of the denominators.The denominators are 4, 2 and an invisible 1.
The LCM of {4,2,1} is 4.
We multiply through by 2 to obtain:
[tex] - \frac{3}{4} m \times 4 - \frac{1}{2} \times 4 = 2 \times 4 + \frac{1}{4} m \times 4[/tex]
This simplifies to
[tex] - 3m - 2 = 8 + m[/tex]
The fraction is now eliminated. The required number is 4
