Question

What is the smallest number that both sides of the equation 516x + 94 = 712 could be multiplied by to clear it of fractions?

a. 4
b. 12
c. 32
d. none of these

Answer 1

The equation
`\(516x + 94 = 712\)` doesn't contain fractions. As no terms have denominators, there's no need to multiply both sides by any number to clear fractions. The answer is "d. none of these."

The equation given is
`\(516x + 94 = 712\)`.

To check if there are any fractions in the equation, look for variables with denominators or fractions on either side of the equation. Here, the equation contains no fractions; all terms are whole numbers.

When you want to clear an equation of fractions, you typically find the least common multiple (LCM) of the denominators and then multiply both sides by that number. However, in this case, there are no denominators or fractions involved in the equation
`\(516x + 94 = 712\)`.

Hence, there are no fractions to clear from the equation. Multiplying both sides by any specific number to eliminate fractions isn't necessary.

Therefore, the answer remains "d. none of these," as there are no fractions present in the equation to clear.