Solve (-15)*(-12/3)-405:(-5)

$$( - 15 ) \cdot ( - 1 \frac { 2 } { 3 } ) - 405 : ( - 5 )$$

Evaluate

$$106$$

Solution Steps

Multiply 1 and 3 to get 3.

$$-15\left(-\frac{3+2}{3}\right)-\frac{405}{-5}$$

Add 3 and 2 to get 5.

$$-15\left(-\frac{5}{3}\right)-\frac{405}{-5}$$

Express -15\left(-\frac{5}{3}\right) as a single fraction.

$$\frac{-15\left(-5\right)}{3}-\frac{405}{-5}$$

Multiply -15 and -5 to get 75.

$$\frac{75}{3}-\frac{405}{-5}$$

Divide 75 by 3 to get 25.

$$25-\frac{405}{-5}$$

Divide 405 by -5 to get -81.

$$25-\left(-81\right)$$

The opposite of -81 is 81.

$$25+81$$

Add 25 and 81 to get 106.

$$106$$

Factor

$$2\times 53$$