Solve 20%+80*307/2+90*5%

$$20 \% + 80 \times 307 / 2 + 90 \times 5 \%$$

Evaluate

$$\frac{122847}{10}=12284.7$$

Solution Steps

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

$$\frac{1}{5}+80\times \frac{307}{2}+90\times \frac{5}{100}$$

Express 80\times \frac{307}{2} as a single fraction.

$$\frac{1}{5}+\frac{80\times 307}{2}+90\times \frac{5}{100}$$

Multiply 80 and 307 to get 24560.

$$\frac{1}{5}+\frac{24560}{2}+90\times \frac{5}{100}$$

Divide 24560 by 2 to get 12280.

$$\frac{1}{5}+12280+90\times \frac{5}{100}$$

Convert 12280 to fraction \frac{61400}{5}.

$$\frac{1}{5}+\frac{61400}{5}+90\times \frac{5}{100}$$

Since \frac{1}{5} and \frac{61400}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+61400}{5}+90\times \frac{5}{100}$$

Add 1 and 61400 to get 61401.

$$\frac{61401}{5}+90\times \frac{5}{100}$$

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

$$\frac{61401}{5}+90\times \frac{1}{20}$$

Multiply 90 and \frac{1}{20} to get \frac{90}{20}.

$$\frac{61401}{5}+\frac{90}{20}$$

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

$$\frac{61401}{5}+\frac{9}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{61401}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{122802}{10}+\frac{45}{10}$$

Since \frac{122802}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{122802+45}{10}$$

Add 122802 and 45 to get 122847.

$$\frac{122847}{10}$$

Factor

$$\frac{3 \cdot 40949}{2 \cdot 5} = 12284\frac{7}{10} = 12284.7$$