Solve quad40-59quad60-79quad80-99/500quad50

$$\quad 40 - 59 \quad 60 - 79 \quad \frac { 80 - 99 } { 500 } \quad 50$$

Evaluate

$$-\frac{33499}{10}=-3349.9$$

Solution Steps

Multiply 59 and 60 to get 3540.

$$40-3540-79\times \frac{80-99}{500}\times 50$$

Subtract 3540 from 40 to get -3500.

$$-3500-79\times \frac{80-99}{500}\times 50$$

Subtract 99 from 80 to get -19.

$$-3500-79\times \frac{-19}{500}\times 50$$

Fraction \frac{-19}{500} can be rewritten as -\frac{19}{500} by extracting the negative sign.

$$-3500-79\left(-\frac{19}{500}\right)\times 50$$

Express 79\left(-\frac{19}{500}\right) as a single fraction.

$$-3500-\frac{79\left(-19\right)}{500}\times 50$$

Multiply 79 and -19 to get -1501.

$$-3500-\frac{-1501}{500}\times 50$$

Fraction \frac{-1501}{500} can be rewritten as -\frac{1501}{500} by extracting the negative sign.

$$-3500-\left(-\frac{1501}{500}\times 50\right)$$

Express -\frac{1501}{500}\times 50 as a single fraction.

$$-3500-\frac{-1501\times 50}{500}$$

Multiply -1501 and 50 to get -75050.

$$-3500-\frac{-75050}{500}$$

Reduce the fraction \frac{-75050}{500} to lowest terms by extracting and canceling out 50.

$$-3500-\left(-\frac{1501}{10}\right)$$

The opposite of -\frac{1501}{10} is \frac{1501}{10}.

$$-3500+\frac{1501}{10}$$

Convert -3500 to fraction -\frac{35000}{10}.

$$-\frac{35000}{10}+\frac{1501}{10}$$

Since -\frac{35000}{10} and \frac{1501}{10} have the same denominator, add them by adding their numerators.

$$\frac{-35000+1501}{10}$$

Add -35000 and 1501 to get -33499.

$$-\frac{33499}{10}$$

Factor

$$-\frac{33499}{10} = -3349\frac{9}{10} = -3349.9$$