Solve 10+[500-150/500]*2

$$10 + [ \frac { 500 - 150 } { 500 } ] \times 2$$

Evaluate

$$\frac{57}{5}=11.4$$

Solution Steps

Subtract 150 from 500 to get 350.

$$10+\frac{350}{500}\times 2$$

Reduce the fraction \frac{350}{500} to lowest terms by extracting and canceling out 50.

$$10+\frac{7}{10}\times 2$$

Express \frac{7}{10}\times 2 as a single fraction.

$$10+\frac{7\times 2}{10}$$

Multiply 7 and 2 to get 14.

$$10+\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$10+\frac{7}{5}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{50}{5}+\frac{7}{5}$$

Since \frac{50}{5} and \frac{7}{5} have the same denominator, add them by adding their numerators.

$$\frac{50+7}{5}$$

Add 50 and 7 to get 57.

$$\frac{57}{5}$$

Factor

$$\frac{3 \cdot 19}{5} = 11\frac{2}{5} = 11.4$$