Hello!
The answer is: 4
Why?
The smallest whole number we can use to multiply each term in order to eliminate the fractions is 4:
Multiplying each side of the equation by 4, we have:
Multiplying each side of the equation by 4, we have:
[tex](\frac{-3m}{4}-\frac{1}{2})*4=(2+\frac{1}{4})*4\\\\\frac{-12m}{4} - \frac{4}{2} = 8+\frac{4m}{4}\\-3m-2=8+m\\-8-2=m+3m\\4m=-10\\m=\frac{-10}{4}=\frac{-5}{2}\\\\m=\frac{-5}{2}[/tex]
Have a nice day!
