Solve 15*26/100+25*40/100+35*24/100+45*8/100+55*frac{2}{100}

$$15 \times \frac{ 26 }{ 100 } +25 \times \frac{ 40 }{ 100 } +35 \times \frac{ 24 }{ 100 } +45 \times \frac{ 8 }{ 100 } +55 \times \frac{ 2 }{ 100 }$$

Evaluate

$$27$$

Solution Steps

Reduce the fraction \frac{26}{100} to lowest terms by extracting and canceling out 2.

$$15\times \frac{13}{50}+25\times \frac{40}{100}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Express 15\times \frac{13}{50} as a single fraction.

$$\frac{15\times 13}{50}+25\times \frac{40}{100}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 15 and 13 to get 195.

$$\frac{195}{50}+25\times \frac{40}{100}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Reduce the fraction \frac{195}{50} to lowest terms by extracting and canceling out 5.

$$\frac{39}{10}+25\times \frac{40}{100}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{39}{10}+25\times \frac{2}{5}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Express 25\times \frac{2}{5} as a single fraction.

$$\frac{39}{10}+\frac{25\times 2}{5}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 25 and 2 to get 50.

$$\frac{39}{10}+\frac{50}{5}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Divide 50 by 5 to get 10.

$$\frac{39}{10}+10+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Convert 10 to fraction \frac{100}{10}.

$$\frac{39}{10}+\frac{100}{10}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Since \frac{39}{10} and \frac{100}{10} have the same denominator, add them by adding their numerators.

$$\frac{39+100}{10}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Add 39 and 100 to get 139.

$$\frac{139}{10}+35\times \frac{24}{100}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{139}{10}+35\times \frac{6}{25}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Express 35\times \frac{6}{25} as a single fraction.

$$\frac{139}{10}+\frac{35\times 6}{25}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 35 and 6 to get 210.

$$\frac{139}{10}+\frac{210}{25}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Reduce the fraction \frac{210}{25} to lowest terms by extracting and canceling out 5.

$$\frac{139}{10}+\frac{42}{5}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Least common multiple of 10 and 5 is 10. Convert \frac{139}{10} and \frac{42}{5} to fractions with denominator 10.

$$\frac{139}{10}+\frac{84}{10}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Since \frac{139}{10} and \frac{84}{10} have the same denominator, add them by adding their numerators.

$$\frac{139+84}{10}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Add 139 and 84 to get 223.

$$\frac{223}{10}+45\times \frac{8}{100}+55\times \frac{2}{100}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{223}{10}+45\times \frac{2}{25}+55\times \frac{2}{100}$$

Express 45\times \frac{2}{25} as a single fraction.

$$\frac{223}{10}+\frac{45\times 2}{25}+55\times \frac{2}{100}$$

Multiply 45 and 2 to get 90.

$$\frac{223}{10}+\frac{90}{25}+55\times \frac{2}{100}$$

Reduce the fraction \frac{90}{25} to lowest terms by extracting and canceling out 5.

$$\frac{223}{10}+\frac{18}{5}+55\times \frac{2}{100}$$

Least common multiple of 10 and 5 is 10. Convert \frac{223}{10} and \frac{18}{5} to fractions with denominator 10.

$$\frac{223}{10}+\frac{36}{10}+55\times \frac{2}{100}$$

Since \frac{223}{10} and \frac{36}{10} have the same denominator, add them by adding their numerators.

$$\frac{223+36}{10}+55\times \frac{2}{100}$$

Add 223 and 36 to get 259.

$$\frac{259}{10}+55\times \frac{2}{100}$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{259}{10}+55\times \frac{1}{50}$$

Multiply 55 and \frac{1}{50} to get \frac{55}{50}.

$$\frac{259}{10}+\frac{55}{50}$$

Reduce the fraction \frac{55}{50} to lowest terms by extracting and canceling out 5.

$$\frac{259}{10}+\frac{11}{10}$$

Since \frac{259}{10} and \frac{11}{10} have the same denominator, add them by adding their numerators.

$$\frac{259+11}{10}$$

Add 259 and 11 to get 270.

$$\frac{270}{10}$$

Divide 270 by 10 to get 27.

$$27$$

Factor

$$3^{3}$$