Solve 54(-0,667-1)/frac{2{3}-1}

$$\frac { 54 ( - 0,667 - 1 ) } { \frac { 2 } { 3 } - 1 }$$

Evaluate

$$270,054$$

Solution Steps

Subtract 1 from -0,667 to get -1,667.

$$\frac{54\left(-1,667\right)}{\frac{2}{3}-1}$$

Multiply 54 and -1,667 to get -90,018.

$$\frac{-90,018}{\frac{2}{3}-1}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{-90,018}{\frac{2}{3}-\frac{3}{3}}$$

Since \frac{2}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-90,018}{\frac{2-3}{3}}$$

Subtract 3 from 2 to get -1.

$$\frac{-90,018}{-\frac{1}{3}}$$

Divide -90,018 by -\frac{1}{3} by multiplying -90,018 by the reciprocal of -\frac{1}{3}.

$$-90,018\left(-3\right)$$

Multiply -90,018 and -3 to get 270,054.

$$270,054$$

Factor

$$\frac{1667 \cdot 3 ^ {4}}{2 ^ {2} \cdot 5 ^ {3}} = 270\frac{27}{500} = 270.054$$