Solve 89*60%+92*15%+86*10%+95*15%/100%

$$\frac{ 89 \times 60 \% +92 \times 15 \% +86 \times 10 \% +95 \times 15 \% }{ 100 \% }$$

Evaluate

$$\frac{1801}{20}=90.05$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{89\times \frac{60}{100}+92\times \frac{15}{100}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\frac{89\times \frac{3}{5}+92\times \frac{15}{100}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Express 89\times \frac{3}{5} as a single fraction.

$$\frac{\frac{89\times 3}{5}+92\times \frac{15}{100}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Multiply 89 and 3 to get 267.

$$\frac{\frac{267}{5}+92\times \frac{15}{100}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

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

$$\frac{\frac{267}{5}+92\times \frac{3}{20}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Express 92\times \frac{3}{20} as a single fraction.

$$\frac{\frac{267}{5}+\frac{92\times 3}{20}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Multiply 92 and 3 to get 276.

$$\frac{\frac{267}{5}+\frac{276}{20}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Reduce the fraction \frac{276}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{267}{5}+\frac{69}{5}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Since \frac{267}{5} and \frac{69}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{267+69}{5}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

Add 267 and 69 to get 336.

$$\frac{\frac{336}{5}+86\times \frac{10}{100}+95\times \frac{15}{100}}{1}$$

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

$$\frac{\frac{336}{5}+86\times \frac{1}{10}+95\times \frac{15}{100}}{1}$$

Multiply 86 and \frac{1}{10} to get \frac{86}{10}.

$$\frac{\frac{336}{5}+\frac{86}{10}+95\times \frac{15}{100}}{1}$$

Reduce the fraction \frac{86}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{336}{5}+\frac{43}{5}+95\times \frac{15}{100}}{1}$$

Since \frac{336}{5} and \frac{43}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{336+43}{5}+95\times \frac{15}{100}}{1}$$

Add 336 and 43 to get 379.

$$\frac{\frac{379}{5}+95\times \frac{15}{100}}{1}$$

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

$$\frac{\frac{379}{5}+95\times \frac{3}{20}}{1}$$

Express 95\times \frac{3}{20} as a single fraction.

$$\frac{\frac{379}{5}+\frac{95\times 3}{20}}{1}$$

Multiply 95 and 3 to get 285.

$$\frac{\frac{379}{5}+\frac{285}{20}}{1}$$

Reduce the fraction \frac{285}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{379}{5}+\frac{57}{4}}{1}$$

Least common multiple of 5 and 4 is 20. Convert \frac{379}{5} and \frac{57}{4} to fractions with denominator 20.

$$\frac{\frac{1516}{20}+\frac{285}{20}}{1}$$

Since \frac{1516}{20} and \frac{285}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1516+285}{20}}{1}$$

Add 1516 and 285 to get 1801.

$$\frac{\frac{1801}{20}}{1}$$

Anything divided by one gives itself.

$$\frac{1801}{20}$$

Factor

$$\frac{1801}{2 ^ {2} \cdot 5} = 90\frac{1}{20} = 90.05$$