To solve the equation 2/3(x−4)=−10

, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

1 answer

The fraction given in the equation is \( \frac{2}{3} \). The reciprocal of a fraction is obtained by flipping the numerator and the denominator.

So, the reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).

Izzy should multiply both sides of the equation by \( \frac{3}{2} \).