Solve (-6)div{5/12*(-4/5)}=

$$( - 6 ) \div \{ \frac { 5 } { 12 } \times ( - \frac { 4 } { 5 } ) \} =$$

Evaluate

$$18$$

Solution Steps

Multiply \frac{5}{12} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-6}{\frac{5\left(-4\right)}{12\times 5}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-6}{\frac{-4}{12}}$$

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

$$\frac{-6}{-\frac{1}{3}}$$

Divide -6 by -\frac{1}{3} by multiplying -6 by the reciprocal of -\frac{1}{3}.

$$-6\left(-3\right)$$

Multiply -6 and -3 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$