Solve 5/-3*9*-5/6

$$\frac { 5 } { - 3 } \cdot 9 \cdot \frac { - 5 } { 6 }$$

Evaluate

$$\frac{25}{2}=12.5$$

Solution Steps

Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$-\frac{5}{3}\times 9\times \frac{-5}{6}$$

Express -\frac{5}{3}\times 9 as a single fraction.

$$\frac{-5\times 9}{3}\times \frac{-5}{6}$$

Multiply -5 and 9 to get -45.

$$\frac{-45}{3}\times \frac{-5}{6}$$

Divide -45 by 3 to get -15.

$$-15\times \frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-15\left(-\frac{5}{6}\right)$$

Express -15\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{-15\left(-5\right)}{6}$$

Multiply -15 and -5 to get 75.

$$\frac{75}{6}$$

Reduce the fraction \frac{75}{6} to lowest terms by extracting and canceling out 3.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$