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 point)
_/_

1 answer

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

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

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