Solve 21/4*(-6/7)*(1/2-2)

$$2 \frac { 1 } { 4 } \times ( - \frac { 6 } { 7 } ) * ( \frac { 1 } { 2 } - 2 )$$

Evaluate

$$\frac{81}{28}\approx 2.892857143$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}\left(-\frac{6}{7}\right)\left(\frac{1}{2}-2\right)$$

Add 8 and 1 to get 9.

$$\frac{9}{4}\left(-\frac{6}{7}\right)\left(\frac{1}{2}-2\right)$$

Multiply \frac{9}{4} times -\frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-6\right)}{4\times 7}\left(\frac{1}{2}-2\right)$$

Do the multiplications in the fraction \frac{9\left(-6\right)}{4\times 7}.

$$\frac{-54}{28}\left(\frac{1}{2}-2\right)$$

Reduce the fraction \frac{-54}{28} to lowest terms by extracting and canceling out 2.

$$-\frac{27}{14}\left(\frac{1}{2}-2\right)$$

Convert 2 to fraction \frac{4}{2}.

$$-\frac{27}{14}\left(\frac{1}{2}-\frac{4}{2}\right)$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{27}{14}\times \frac{1-4}{2}$$

Subtract 4 from 1 to get -3.

$$-\frac{27}{14}\left(-\frac{3}{2}\right)$$

Multiply -\frac{27}{14} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-27\left(-3\right)}{14\times 2}$$

Do the multiplications in the fraction \frac{-27\left(-3\right)}{14\times 2}.

$$\frac{81}{28}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {2} \cdot 7} = 2\frac{25}{28} = 2.892857142857143$$