Solve (+4)*(-5/6)*(+9/20)=

$$( + 4 ) \cdot ( - \frac { 5 } { 6 } ) \cdot ( + \frac { 9 } { 20 } ) =$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Express 4\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{4\left(-5\right)}{6}\times \frac{9}{20}$$

Multiply 4 and -5 to get -20.

$$\frac{-20}{6}\times \frac{9}{20}$$

Reduce the fraction \frac{-20}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{10}{3}\times \frac{9}{20}$$

Multiply -\frac{10}{3} times \frac{9}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\times 9}{3\times 20}$$

Do the multiplications in the fraction \frac{-10\times 9}{3\times 20}.

$$\frac{-90}{60}$$

Reduce the fraction \frac{-90}{60} to lowest terms by extracting and canceling out 30.

$$-\frac{3}{2}$$

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$