Solve 54*(-2/3)div(-3)+(-2)^3div0.25

$$54 \times ( - \frac { 2 } { 3 } ) \div ( - 3 ) + ( - 2 ) ^ { 3 } \div 0.25$$

Evaluate

$$-20$$

Solution Steps

Express 54\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{\frac{54\left(-2\right)}{3}}{-3}+\frac{\left(-2\right)^{3}}{0.25}$$

Multiply 54 and -2 to get -108.

$$\frac{\frac{-108}{3}}{-3}+\frac{\left(-2\right)^{3}}{0.25}$$

Divide -108 by 3 to get -36.

$$\frac{-36}{-3}+\frac{\left(-2\right)^{3}}{0.25}$$

Divide -36 by -3 to get 12.

$$12+\frac{\left(-2\right)^{3}}{0.25}$$

Calculate -2 to the power of 3 and get -8.

$$12+\frac{-8}{0.25}$$

Expand \frac{-8}{0.25} by multiplying both numerator and the denominator by 100.

$$12+\frac{-800}{25}$$

Divide -800 by 25 to get -32.

$$12-32$$

Subtract 32 from 12 to get -20.

$$-20$$

Factor

$$-20$$