Question

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 1

Answer: Each term of the equation can be multiplied by $4$ to eliminate the fractions before solving.

Step-by-step explanation:

Given the following expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

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:

$4=2*2=2^2\\2=2$

Choose $2^2$, because it has the highest exponent. Then:

$LCD=2^2=4$

Finally you can multiply on both sides by 4 in order to  to eliminate the fractions before solving:

$(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m$