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

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

Evaluate

$$135,027$$

Solution Steps

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

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

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

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

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

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

Since \frac{1}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 1 to get -2.

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

Divide -90,018 by -\frac{2}{3} by multiplying -90,018 by the reciprocal of -\frac{2}{3}.

$$-90,018\left(-\frac{3}{2}\right)$$

Convert decimal number -90,018 to fraction -\frac{90018}{1000}. Reduce the fraction -\frac{90018}{1000} to lowest terms by extracting and canceling out 2.

$$-\frac{45009}{500}\left(-\frac{3}{2}\right)$$

Multiply -\frac{45009}{500} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-45009\left(-3\right)}{500\times 2}$$

Do the multiplications in the fraction \frac{-45009\left(-3\right)}{500\times 2}.

$$\frac{135027}{1000}$$

Factor

$$\frac{1667 \cdot 3 ^ {4}}{2 ^ {3} \cdot 5 ^ {3}} = 135\frac{27}{1000} = 135.027$$