Solve (-64/12):(-4/3)

$$( - \frac { 64 } { 12 } ) : ( - \frac { 4 } { 3 } )$$

Evaluate

$$4$$

Solution Steps

Reduce the fraction \frac{64}{12} to lowest terms by extracting and canceling out 4.

$$\frac{-\frac{16}{3}}{-\frac{4}{3}}$$

Divide -\frac{16}{3} by -\frac{4}{3} by multiplying -\frac{16}{3} by the reciprocal of -\frac{4}{3}.

$$-\frac{16}{3}\left(-\frac{3}{4}\right)$$

Multiply -\frac{16}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\left(-3\right)}{3\times 4}$$

Do the multiplications in the fraction \frac{-16\left(-3\right)}{3\times 4}.

$$\frac{48}{12}$$

Divide 48 by 12 to get 4.

$$4$$

Factor

$$2^{2}$$