Question

which number can each term of the equation be multiplied by to eliminate the fractions before solving?
$-\frac{3}{4}m - \frac{1}{2} = 2 + \frac{1}{4}m$
\bigcirc 2
\bigcirc 3
\bigcirc 4
\bigcirc 5

Explanation:

Step1: Identify denominators

The fractions in the equation are $-\frac{3}{4}m$, $-\frac{1}{2}$, and $\frac{1}{4}m$. The denominators are 4, 2, and 4.

Step2: Find LCM of denominators

The least common multiple (LCM) of 4 and 2. Prime factors of 4: $2^2$, prime factors of 2: $2^1$. LCM is $2^2 = 4$. Multiplying each term by 4 will eliminate the fractions (since 4 is divisible by 4 and 2).

Answer:

4 (corresponding to the option "4")