Solve 4028%+4025%+4017%+4020%+4024%/5

$$\frac{ 4028 \% +4025 \% +4017 \% +4020 \% +4024 \% }{ 5 }$$

Evaluate

$$\frac{10057}{250}=40.228$$

Solution Steps

Since \frac{4028}{100} and \frac{4025}{100} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4028+4025}{100}+\frac{4017}{100}+\frac{4020}{100}+\frac{4024}{100}}{5}$$

Add 4028 and 4025 to get 8053.

$$\frac{\frac{8053}{100}+\frac{4017}{100}+\frac{4020}{100}+\frac{4024}{100}}{5}$$

Since \frac{8053}{100} and \frac{4017}{100} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8053+4017}{100}+\frac{4020}{100}+\frac{4024}{100}}{5}$$

Add 8053 and 4017 to get 12070.

$$\frac{\frac{12070}{100}+\frac{4020}{100}+\frac{4024}{100}}{5}$$

Reduce the fraction \frac{12070}{100} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{1207}{10}+\frac{4020}{100}+\frac{4024}{100}}{5}$$

Reduce the fraction \frac{4020}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{1207}{10}+\frac{201}{5}+\frac{4024}{100}}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{1207}{10} and \frac{201}{5} to fractions with denominator 10.

$$\frac{\frac{1207}{10}+\frac{402}{10}+\frac{4024}{100}}{5}$$

Since \frac{1207}{10} and \frac{402}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1207+402}{10}+\frac{4024}{100}}{5}$$

Add 1207 and 402 to get 1609.

$$\frac{\frac{1609}{10}+\frac{4024}{100}}{5}$$

Reduce the fraction \frac{4024}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1609}{10}+\frac{1006}{25}}{5}$$

Least common multiple of 10 and 25 is 50. Convert \frac{1609}{10} and \frac{1006}{25} to fractions with denominator 50.

$$\frac{\frac{8045}{50}+\frac{2012}{50}}{5}$$

Since \frac{8045}{50} and \frac{2012}{50} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8045+2012}{50}}{5}$$

Add 8045 and 2012 to get 10057.

$$\frac{\frac{10057}{50}}{5}$$

Express \frac{\frac{10057}{50}}{5} as a single fraction.

$$\frac{10057}{50\times 5}$$

Multiply 50 and 5 to get 250.

$$\frac{10057}{250}$$

Factor

$$\frac{89 \cdot 113}{2 \cdot 5 ^ {3}} = 40\frac{57}{250} = 40.228$$