Solve (-1/2-20)(1-20)

$$( - \frac { 1 } { 2 } - 20 ) ( 1 - 20 )$$

Evaluate

$$\frac{779}{2}=389.5$$

Solution Steps

Convert 20 to fraction \frac{40}{2}.

$$\left(-\frac{1}{2}-\frac{40}{2}\right)\left(1-20\right)$$

Since -\frac{1}{2} and \frac{40}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-40}{2}\left(1-20\right)$$

Subtract 40 from -1 to get -41.

$$-\frac{41}{2}\left(1-20\right)$$

Subtract 20 from 1 to get -19.

$$-\frac{41}{2}\left(-19\right)$$

Express -\frac{41}{2}\left(-19\right) as a single fraction.

$$\frac{-41\left(-19\right)}{2}$$

Multiply -41 and -19 to get 779.

$$\frac{779}{2}$$

Factor

$$\frac{19 \cdot 41}{2} = 389\frac{1}{2} = 389.5$$