Solve -21/2*6/7div(-3/4)

$$- \frac { 21 } { 2 } \times \frac { 6 } { 7 } \div ( - \frac { 3 } { 4 } )$$

Evaluate

$$12$$

Solution Steps

Multiply -\frac{21}{2} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-21\times 6}{2\times 7}}{-\frac{3}{4}}$$

Do the multiplications in the fraction \frac{-21\times 6}{2\times 7}.

$$\frac{\frac{-126}{14}}{-\frac{3}{4}}$$

Divide -126 by 14 to get -9.

$$\frac{-9}{-\frac{3}{4}}$$

Divide -9 by -\frac{3}{4} by multiplying -9 by the reciprocal of -\frac{3}{4}.

$$-9\left(-\frac{4}{3}\right)$$

Express -9\left(-\frac{4}{3}\right) as a single fraction.

$$\frac{-9\left(-4\right)}{3}$$

Multiply -9 and -4 to get 36.

$$\frac{36}{3}$$

Divide 36 by 3 to get 12.

$$12$$

Factor

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