Questions: Determine the operation that will clear the following equation of fractions. 1/2 = x = 3/6 x + 6 What is the best way to clear the equation of fractions? A. Multiply by 10 on both sides. B. Multiply by 20 on both sides. C. Multiply by 2 on both sides. D. Multiply by 5 on both sides.

Determine the operation that will clear the equation of fractions.

Identify the denominators in the equation.

The denominators in the equation are 2 and 6. The least common multiple (LCM) of 2 and 6 is 6. However, to eliminate all fractions, we should multiply by the LCM of all denominators, which is 6.

Determine the correct operation to clear the fractions.

To clear the fractions, multiply both sides of the equation by 6. This will eliminate the denominators 2 and 6.

The correct operation to clear the equation of fractions is to multiply by 6. However, none of the options directly provide 6. The closest option is to multiply by 2, which would eliminate the fraction \(\frac{1}{2}\) but not \(\frac{3}{6}\). Therefore, the best available option is to multiply by 2.

The best way to clear the equation of fractions is to multiply by 2 on both sides. The answer is \(\boxed{C}\).