Solve (-2/3)*(-13/4)*24/5div(-21/3)=

$$( - \frac { 2 } { 3 } ) \times ( - 1 \frac { 3 } { 4 } ) \times 2 \frac { 4 } { 5 } \div ( - 2 \frac { 1 } { 3 } ) =$$

Evaluate

$$-\frac{7}{5}=-1.4$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{-\frac{2}{3}\left(-\frac{4+3}{4}\right)\times \frac{2\times 5+4}{5}}{-\frac{2\times 3+1}{3}}$$

Add 4 and 3 to get 7.

$$\frac{-\frac{2}{3}\left(-\frac{7}{4}\right)\times \frac{2\times 5+4}{5}}{-\frac{2\times 3+1}{3}}$$

Multiply -\frac{2}{3} times -\frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-2\left(-7\right)}{3\times 4}\times \frac{2\times 5+4}{5}}{-\frac{2\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{-2\left(-7\right)}{3\times 4}.

$$\frac{\frac{14}{12}\times \frac{2\times 5+4}{5}}{-\frac{2\times 3+1}{3}}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{6}\times \frac{2\times 5+4}{5}}{-\frac{2\times 3+1}{3}}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{7}{6}\times \frac{10+4}{5}}{-\frac{2\times 3+1}{3}}$$

Add 10 and 4 to get 14.

$$\frac{\frac{7}{6}\times \frac{14}{5}}{-\frac{2\times 3+1}{3}}$$

Multiply \frac{7}{6} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 14}{6\times 5}}{-\frac{2\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{7\times 14}{6\times 5}.

$$\frac{\frac{98}{30}}{-\frac{2\times 3+1}{3}}$$

Reduce the fraction \frac{98}{30} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{49}{15}}{-\frac{2\times 3+1}{3}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{49}{15}}{-\frac{6+1}{3}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{49}{15}}{-\frac{7}{3}}$$

Divide \frac{49}{15} by -\frac{7}{3} by multiplying \frac{49}{15} by the reciprocal of -\frac{7}{3}.

$$\frac{49}{15}\left(-\frac{3}{7}\right)$$

Multiply \frac{49}{15} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\left(-3\right)}{15\times 7}$$

Do the multiplications in the fraction \frac{49\left(-3\right)}{15\times 7}.

$$\frac{-147}{105}$$

Reduce the fraction \frac{-147}{105} to lowest terms by extracting and canceling out 21.

$$-\frac{7}{5}$$

Factor

$$-\frac{7}{5} = -1\frac{2}{5} = -1.4$$