Question

which number can each term of the equation be multiplied by to eliminate the fractions before solving? 0 - \frac{3}{4}x+\frac{1}{2}=\frac{1}{2}x + 5
2
3
6
12

Explanation:

Step1: Identify denominators

The denominators are 4 and 2.

Step2: Find the least - common multiple (LCM)

The multiples of 4 are 4, 8, 12, 16, ...; the multiples of 2 are 2, 4, 6, 8, 10, 12, .... The LCM of 4 and 2 is 4. But if we multiply each term of the equation \(6-\frac{3}{4}x+\frac{1}{2}=\frac{1}{2}x + 5\) by 12, we can clear all fractions. When we multiply \(-\frac{3}{4}x\) by 12, we get \(-9x\); when we multiply \(\frac{1}{2}\) by 12, we get 6; when we multiply \(\frac{1}{2}x\) by 12, we get 6x.

Answer:

D. 12