Solve 500*100/500+100+90

$$\frac { 500 \times 100 } { 500 + 100 } + 90$$

Evaluate

$$\frac{520}{3}\approx 173.333333333$$

Solution Steps

Multiply 500 and 100 to get 50000.

$$\frac{50000}{500+100}+90$$

Add 500 and 100 to get 600.

$$\frac{50000}{600}+90$$

Reduce the fraction \frac{50000}{600} to lowest terms by extracting and canceling out 200.

$$\frac{250}{3}+90$$

Convert 90 to fraction \frac{270}{3}.

$$\frac{250}{3}+\frac{270}{3}$$

Since \frac{250}{3} and \frac{270}{3} have the same denominator, add them by adding their numerators.

$$\frac{250+270}{3}$$

Add 250 and 270 to get 520.

$$\frac{520}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 13}{3} = 173\frac{1}{3} = 173.33333333333334$$