Solve 15%*100+(79-60%)div(80%-60%)*20*15%

$$15 \% \times 100+(79-60 \% ) \div (80 \% -60 \% ) \times 20 \times 15 \%$$

Evaluate

$$1191$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}\times 100+\frac{79-\frac{60}{100}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Express \frac{3}{20}\times 100 as a single fraction.

$$\frac{3\times 100}{20}+\frac{79-\frac{60}{100}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{20}+\frac{79-\frac{60}{100}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Divide 300 by 20 to get 15.

$$15+\frac{79-\frac{60}{100}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$15+\frac{79-\frac{3}{5}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Convert 79 to fraction \frac{395}{5}.

$$15+\frac{\frac{395}{5}-\frac{3}{5}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Since \frac{395}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$15+\frac{\frac{395-3}{5}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Subtract 3 from 395 to get 392.

$$15+\frac{\frac{392}{5}}{\frac{80}{100}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$15+\frac{\frac{392}{5}}{\frac{4}{5}-\frac{60}{100}}\times 20\times \frac{15}{100}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$15+\frac{\frac{392}{5}}{\frac{4}{5}-\frac{3}{5}}\times 20\times \frac{15}{100}$$

Since \frac{4}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$15+\frac{\frac{392}{5}}{\frac{4-3}{5}}\times 20\times \frac{15}{100}$$

Subtract 3 from 4 to get 1.

$$15+\frac{\frac{392}{5}}{\frac{1}{5}}\times 20\times \frac{15}{100}$$

Divide \frac{392}{5} by \frac{1}{5} by multiplying \frac{392}{5} by the reciprocal of \frac{1}{5}.

$$15+\frac{392}{5}\times 5\times 20\times \frac{15}{100}$$

Cancel out 5 and 5.

$$15+392\times 20\times \frac{15}{100}$$

Multiply 392 and 20 to get 7840.

$$15+7840\times \frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$15+7840\times \frac{3}{20}$$

Express 7840\times \frac{3}{20} as a single fraction.

$$15+\frac{7840\times 3}{20}$$

Multiply 7840 and 3 to get 23520.

$$15+\frac{23520}{20}$$

Divide 23520 by 20 to get 1176.

$$15+1176$$

Add 15 and 1176 to get 1191.

$$1191$$

Factor

$$3\times 397$$