Solve -5div(-12/7)*4/5*(-21/4)div7

$$- 5 \div ( - 1 \frac { 2 } { 7 } ) \times \frac { 4 } { 5 } \times ( - 2 \frac { 1 } { 4 } ) \div 7$$

Evaluate

$$-1$$

Solution Steps

Multiply 1 and 7 to get 7.

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

Add 7 and 2 to get 9.

$$\frac{\frac{-5}{-\frac{9}{7}}\times \frac{4}{5}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Divide -5 by -\frac{9}{7} by multiplying -5 by the reciprocal of -\frac{9}{7}.

$$\frac{-5\left(-\frac{7}{9}\right)\times \frac{4}{5}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Express -5\left(-\frac{7}{9}\right) as a single fraction.

$$\frac{\frac{-5\left(-7\right)}{9}\times \frac{4}{5}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Multiply -5 and -7 to get 35.

$$\frac{\frac{35}{9}\times \frac{4}{5}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Multiply \frac{35}{9} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 4}{9\times 5}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Do the multiplications in the fraction \frac{35\times 4}{9\times 5}.

$$\frac{\frac{140}{45}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Reduce the fraction \frac{140}{45} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{28}{9}\left(-\frac{2\times 4+1}{4}\right)}{7}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{28}{9}\left(-\frac{8+1}{4}\right)}{7}$$

Add 8 and 1 to get 9.

$$\frac{\frac{28}{9}\left(-\frac{9}{4}\right)}{7}$$

Multiply \frac{28}{9} times -\frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{28\left(-9\right)}{9\times 4}}{7}$$

Do the multiplications in the fraction \frac{28\left(-9\right)}{9\times 4}.

$$\frac{\frac{-252}{36}}{7}$$

Divide -252 by 36 to get -7.

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

Divide -7 by 7 to get -1.

$$-1$$

Factor

$$-1$$