Solve 36105.23*15.5/100+36105*2.17/100

$$36105.23 \times \frac{ 15.5 }{ 100 } +36105 \times \frac{ 2.17 }{ 100 }$$

Evaluate

$$6379.78915$$

Solution Steps

Expand \frac{15.5}{100} by multiplying both numerator and the denominator by 10.

$$36105.23\times \frac{155}{1000}+36105\times \frac{2.17}{100}$$

Reduce the fraction \frac{155}{1000} to lowest terms by extracting and canceling out 5.

$$36105.23\times \frac{31}{200}+36105\times \frac{2.17}{100}$$

Convert decimal number 36105.23 to fraction \frac{3610523}{100}.

$$\frac{3610523}{100}\times \frac{31}{200}+36105\times \frac{2.17}{100}$$

Multiply \frac{3610523}{100} times \frac{31}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3610523\times 31}{100\times 200}+36105\times \frac{2.17}{100}$$

Do the multiplications in the fraction \frac{3610523\times 31}{100\times 200}.

$$\frac{111926213}{20000}+36105\times \frac{2.17}{100}$$

Expand \frac{2.17}{100} by multiplying both numerator and the denominator by 100.

$$\frac{111926213}{20000}+36105\times \frac{217}{10000}$$

Express 36105\times \frac{217}{10000} as a single fraction.

$$\frac{111926213}{20000}+\frac{36105\times 217}{10000}$$

Multiply 36105 and 217 to get 7834785.

$$\frac{111926213}{20000}+\frac{7834785}{10000}$$

Reduce the fraction \frac{7834785}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{111926213}{20000}+\frac{1566957}{2000}$$

Least common multiple of 20000 and 2000 is 20000. Convert \frac{111926213}{20000} and \frac{1566957}{2000} to fractions with denominator 20000.

$$\frac{111926213}{20000}+\frac{15669570}{20000}$$

Since \frac{111926213}{20000} and \frac{15669570}{20000} have the same denominator, add them by adding their numerators.

$$\frac{111926213+15669570}{20000}$$

Add 111926213 and 15669570 to get 127595783.

$$\frac{127595783}{20000}$$

Factor

$$\frac{7 \cdot 31 \cdot 587999}{2 ^ {5} \cdot 5 ^ {4}} = 6379\frac{15783}{20000} = 6379.78915$$