Solve -0.75div(-3/2)^2*(-3)

$$- 0.75 \div ( - \frac { 3 } { 2 } ) ^ { 2 } \times ( - 3 )$$

Evaluate

$$1$$

Solution Steps

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{-0.75}{\frac{9}{4}}\left(-3\right)$$

Divide -0.75 by \frac{9}{4} by multiplying -0.75 by the reciprocal of \frac{9}{4}.

$$-0.75\times \frac{4}{9}\left(-3\right)$$

Convert decimal number -0.75 to fraction -\frac{75}{100}. Reduce the fraction -\frac{75}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{3}{4}\times \frac{4}{9}\left(-3\right)$$

Multiply -\frac{3}{4} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 4}{4\times 9}\left(-3\right)$$

Cancel out 4 in both numerator and denominator.

$$\frac{-3}{9}\left(-3\right)$$

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

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

Express -\frac{1}{3}\left(-3\right) as a single fraction.

$$\frac{-\left(-3\right)}{3}$$

Multiply -1 and -3 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$