Solve -72/45div-12/20

$$- \frac{ 72 }{ 45 } \div \frac{ -12 }{ 20 }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Reduce the fraction \frac{72}{45} to lowest terms by extracting and canceling out 9.

$$\frac{-\frac{8}{5}}{\frac{-12}{20}}$$

Reduce the fraction \frac{-12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{-\frac{8}{5}}{-\frac{3}{5}}$$

Divide -\frac{8}{5} by -\frac{3}{5} by multiplying -\frac{8}{5} by the reciprocal of -\frac{3}{5}.

$$-\frac{8}{5}\left(-\frac{5}{3}\right)$$

Multiply -\frac{8}{5} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\left(-5\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{-8\left(-5\right)}{5\times 3}.

$$\frac{40}{15}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$