Question

To solve the equation 5/8(x−1/2)=10
, the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)

Answer 1

To solve the equation \( \frac{5}{8}(x - \frac{1}{2}) = 10 \), we first want to eliminate the fraction on the left side. The first step in reversing the multiplication is to divide both sides by \( \frac{5}{8} \).

To divide by a fraction, you can multiply by its reciprocal. Thus, you would actually multiply both sides by \( \frac{8}{5} \) to isolate \( x - \frac{1}{2} \).

So, the answer is \( \frac{5}{8} \). You should divide both sides by \( \frac{5}{8} \) to start solving the equation.