Solve (-27)div2.25div[(-24)div(-0.5)]

$$( - 27 ) \div 2.25 \div [ ( - 24 ) \div ( - 0.5 ) ]$$

Evaluate

$$-0.25$$

Solution Steps

Divide \frac{-27}{2.25} by \frac{-24}{-0.5} by multiplying \frac{-27}{2.25} by the reciprocal of \frac{-24}{-0.5}.

$$\frac{-27\left(-0.5\right)}{2.25\left(-24\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-9\left(-0.5\right)}{-8\times 2.25}$$

Multiply -9 and -0.5 to get 4.5.

$$\frac{4.5}{-8\times 2.25}$$

Multiply -8 and 2.25 to get -18.

$$\frac{4.5}{-18}$$

Expand \frac{4.5}{-18} by multiplying both numerator and the denominator by 10.

$$\frac{45}{-180}$$

Reduce the fraction \frac{45}{-180} to lowest terms by extracting and canceling out 45.

$$-\frac{1}{4}$$

Factor

$$-0.25$$