Solve 40.28%+40.25%+40.17%+40.20%+40.24%/5

$$\frac{ 40.28 \% +40.25 \% +40.17 \% +40.20 \% +40.24 \% }{ 5 }$$

Evaluate

$$0.40228$$

Solution Steps

Expand \frac{40.28}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{4028}{10000}+\frac{40.25}{100}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Reduce the fraction \frac{4028}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1007}{2500}+\frac{40.25}{100}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Expand \frac{40.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1007}{2500}+\frac{4025}{10000}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Reduce the fraction \frac{4025}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{1007}{2500}+\frac{161}{400}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Least common multiple of 2500 and 400 is 10000. Convert \frac{1007}{2500} and \frac{161}{400} to fractions with denominator 10000.

$$\frac{\frac{4028}{10000}+\frac{4025}{10000}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Since \frac{4028}{10000} and \frac{4025}{10000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4028+4025}{10000}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Add 4028 and 4025 to get 8053.

$$\frac{\frac{8053}{10000}+\frac{40.17}{100}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Expand \frac{40.17}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{8053}{10000}+\frac{4017}{10000}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Since \frac{8053}{10000} and \frac{4017}{10000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8053+4017}{10000}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Add 8053 and 4017 to get 12070.

$$\frac{\frac{12070}{10000}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Reduce the fraction \frac{12070}{10000} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{1207}{1000}+\frac{40.2}{100}+\frac{40.24}{100}}{5}$$

Expand \frac{40.2}{100} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{1207}{1000}+\frac{402}{1000}+\frac{40.24}{100}}{5}$$

Since \frac{1207}{1000} and \frac{402}{1000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1207+402}{1000}+\frac{40.24}{100}}{5}$$

Add 1207 and 402 to get 1609.

$$\frac{\frac{1609}{1000}+\frac{40.24}{100}}{5}$$

Expand \frac{40.24}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1609}{1000}+\frac{4024}{10000}}{5}$$

Reduce the fraction \frac{4024}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{1609}{1000}+\frac{503}{1250}}{5}$$

Least common multiple of 1000 and 1250 is 5000. Convert \frac{1609}{1000} and \frac{503}{1250} to fractions with denominator 5000.

$$\frac{\frac{8045}{5000}+\frac{2012}{5000}}{5}$$

Since \frac{8045}{5000} and \frac{2012}{5000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8045+2012}{5000}}{5}$$

Add 8045 and 2012 to get 10057.

$$\frac{\frac{10057}{5000}}{5}$$

Express \frac{\frac{10057}{5000}}{5} as a single fraction.

$$\frac{10057}{5000\times 5}$$

Multiply 5000 and 5 to get 25000.

$$\frac{10057}{25000}$$

Factor

$$\frac{89 \cdot 113}{2 ^ {3} \cdot 5 ^ {5}} = 0.40228$$