Answer:
4
Explanation:
The given fraction is
![- (3)/(4) m - (1)/(2) = 2 + (1)/(4)m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4il7crabx2rv9xf8kljmbomq7d9plofggy.png)
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:
![- (3)/(4) m * 4 - (1)/(2) * 4 = 2 * 4 + (1)/(4) m * 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5rnq9rog3ckr4j0eaia2q995nn66wubm84.png)
This simplifies to
![- 3m - 2 = 8 + m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qizx09r69c4pdjgwsd7di6p8dwv9budn3k.png)
The fraction is now eliminated. The required number is 4