Solve 17%text{of}820+23%text{of}820-10%text{of}810=?

$$17 \% \text { of } 820 + 23 \% \text { of } 820 - 10 \% \text { of } 810 = ?$$

Evaluate

$$247$$

Solution Steps

Express \frac{17}{100}\times 820 as a single fraction.

$$\frac{17\times 820}{100}+\frac{23}{100}\times 820-\frac{10}{100}\times 810$$

Multiply 17 and 820 to get 13940.

$$\frac{13940}{100}+\frac{23}{100}\times 820-\frac{10}{100}\times 810$$

Reduce the fraction \frac{13940}{100} to lowest terms by extracting and canceling out 20.

$$\frac{697}{5}+\frac{23}{100}\times 820-\frac{10}{100}\times 810$$

Express \frac{23}{100}\times 820 as a single fraction.

$$\frac{697}{5}+\frac{23\times 820}{100}-\frac{10}{100}\times 810$$

Multiply 23 and 820 to get 18860.

$$\frac{697}{5}+\frac{18860}{100}-\frac{10}{100}\times 810$$

Reduce the fraction \frac{18860}{100} to lowest terms by extracting and canceling out 20.

$$\frac{697}{5}+\frac{943}{5}-\frac{10}{100}\times 810$$

Since \frac{697}{5} and \frac{943}{5} have the same denominator, add them by adding their numerators.

$$\frac{697+943}{5}-\frac{10}{100}\times 810$$

Add 697 and 943 to get 1640.

$$\frac{1640}{5}-\frac{10}{100}\times 810$$

Divide 1640 by 5 to get 328.

$$328-\frac{10}{100}\times 810$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$328-\frac{1}{10}\times 810$$

Multiply \frac{1}{10} and 810 to get \frac{810}{10}.

$$328-\frac{810}{10}$$

Divide 810 by 10 to get 81.

$$328-81$$

Subtract 81 from 328 to get 247.

$$247$$

Factor

$$13\times 19$$