Solve 8(1-7)/frac{7(5-2){9}}

$$\frac { 8 ( 1 - 7 ) } { \frac { 7 ( 5 - 2 ) } { 9 } }$$

Evaluate

$$-\frac{144}{7}\approx -20.571428571$$

Solution Steps

Subtract 7 from 1 to get -6.

$$\frac{8\left(-6\right)}{\frac{7\left(5-2\right)}{9}}$$

Multiply 8 and -6 to get -48.

$$\frac{-48}{\frac{7\left(5-2\right)}{9}}$$

Subtract 2 from 5 to get 3.

$$\frac{-48}{\frac{7\times 3}{9}}$$

Multiply 7 and 3 to get 21.

$$\frac{-48}{\frac{21}{9}}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{-48}{\frac{7}{3}}$$

Divide -48 by \frac{7}{3} by multiplying -48 by the reciprocal of \frac{7}{3}.

$$-48\times \frac{3}{7}$$

Express -48\times \frac{3}{7} as a single fraction.

$$\frac{-48\times 3}{7}$$

Multiply -48 and 3 to get -144.

$$\frac{-144}{7}$$

Fraction \frac{-144}{7} can be rewritten as -\frac{144}{7} by extracting the negative sign.

$$-\frac{144}{7}$$

Factor

$$-\frac{144}{7} = -20\frac{4}{7} = -20.571428571428573$$