Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFraction 3 Over 4 EndFraction m minus StartFraction one-half EndFraction equals 2 StartFraction one-fourth EndFraction m. = 2 + m 2 3 4 5

Answer: Each term of the equation can be multiplied by [tex]4[/tex] to eliminate the fractions before solving.Step-by-step explanation: Given the following expression: [tex]-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m[/tex] You need to simplify before solve it. Notice that the denominators are different, then you must find the Least Common Denominator (LCD). Descompose the denominators into their prime factors: [tex]4=2*2=2^2\\2=2[/tex] Choose [tex]2^2[/tex], because it has the highest exponent. Then: [tex]LCD=2^2=4[/tex] Finally you can multiply on both sides by 4 in order to  to eliminate the fractions before solving: [tex](4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m[/tex]