Solve 5*5%*3+5%*4+15%*4+20%*4+20%*4+15%*4

$$5 \times 5 \% \times 3+5 \% \times 4+15 \% \times 4+20 \% \times 4+20 \% \times 4+15 \% \times 4$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

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

$$5\times \frac{1}{20}\times 3+\frac{5}{100}\times 4+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Multiply 5 and \frac{1}{20} to get \frac{5}{20}.

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

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}\times 3+\frac{5}{100}\times 4+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

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

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

$$\frac{3}{4}+\frac{1}{20}\times 4+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Multiply \frac{1}{20} and 4 to get \frac{4}{20}.

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

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{1}{5}+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{4}{20}+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{20}+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Add 15 and 4 to get 19.

$$\frac{19}{20}+\frac{15}{100}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

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

$$\frac{19}{20}+\frac{3}{20}\times 4+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Express \frac{3}{20}\times 4 as a single fraction.

$$\frac{19}{20}+\frac{3\times 4}{20}+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Multiply 3 and 4 to get 12.

$$\frac{19}{20}+\frac{12}{20}+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Since \frac{19}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+12}{20}+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Add 19 and 12 to get 31.

$$\frac{31}{20}+\frac{20}{100}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

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

$$\frac{31}{20}+\frac{1}{5}\times 4+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Multiply \frac{1}{5} and 4 to get \frac{4}{5}.

$$\frac{31}{20}+\frac{4}{5}+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Least common multiple of 20 and 5 is 20. Convert \frac{31}{20} and \frac{4}{5} to fractions with denominator 20.

$$\frac{31}{20}+\frac{16}{20}+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Since \frac{31}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{31+16}{20}+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

Add 31 and 16 to get 47.

$$\frac{47}{20}+\frac{20}{100}\times 4+\frac{15}{100}\times 4$$

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

$$\frac{47}{20}+\frac{1}{5}\times 4+\frac{15}{100}\times 4$$

Multiply \frac{1}{5} and 4 to get \frac{4}{5}.

$$\frac{47}{20}+\frac{4}{5}+\frac{15}{100}\times 4$$

Least common multiple of 20 and 5 is 20. Convert \frac{47}{20} and \frac{4}{5} to fractions with denominator 20.

$$\frac{47}{20}+\frac{16}{20}+\frac{15}{100}\times 4$$

Since \frac{47}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{47+16}{20}+\frac{15}{100}\times 4$$

Add 47 and 16 to get 63.

$$\frac{63}{20}+\frac{15}{100}\times 4$$

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

$$\frac{63}{20}+\frac{3}{20}\times 4$$

Express \frac{3}{20}\times 4 as a single fraction.

$$\frac{63}{20}+\frac{3\times 4}{20}$$

Multiply 3 and 4 to get 12.

$$\frac{63}{20}+\frac{12}{20}$$

Since \frac{63}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{63+12}{20}$$

Add 63 and 12 to get 75.

$$\frac{75}{20}$$

Reduce the fraction \frac{75}{20} to lowest terms by extracting and canceling out 5.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$