Solve 15*26/100+25*40/100+36*24/100+25*8/100+55*frac{2}{100}

$$15 \times \frac { 26 } { 100 } + 25 * \frac { 40 } { 100 } + 36 \times \frac { 24 } { 100 } + 25 \times \frac { 8 } { 100 } + 55 \times \frac { 2 } { 100 }$$

Evaluate

$$\frac{641}{25}=25.64$$

Solution Steps

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

$$15\times \frac{13}{50}+25\times \frac{40}{100}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{15\times 13}{50}+25\times \frac{40}{100}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 15 and 13 to get 195.

$$\frac{195}{50}+25\times \frac{40}{100}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{39}{10}+25\times \frac{40}{100}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{39}{10}+25\times \frac{2}{5}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{39}{10}+\frac{25\times 2}{5}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 25 and 2 to get 50.

$$\frac{39}{10}+\frac{50}{5}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Divide 50 by 5 to get 10.

$$\frac{39}{10}+10+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{39}{10}+\frac{100}{10}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{39+100}{10}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Add 39 and 100 to get 139.

$$\frac{139}{10}+36\times \frac{24}{100}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{139}{10}+36\times \frac{6}{25}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Express 36\times \frac{6}{25} as a single fraction.

$$\frac{139}{10}+\frac{36\times 6}{25}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Multiply 36 and 6 to get 216.

$$\frac{139}{10}+\frac{216}{25}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Least common multiple of 10 and 25 is 50. Convert \frac{139}{10} and \frac{216}{25} to fractions with denominator 50.

$$\frac{695}{50}+\frac{432}{50}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Since \frac{695}{50} and \frac{432}{50} have the same denominator, add them by adding their numerators.

$$\frac{695+432}{50}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

Add 695 and 432 to get 1127.

$$\frac{1127}{50}+25\times \frac{8}{100}+55\times \frac{2}{100}$$

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

$$\frac{1127}{50}+25\times \frac{2}{25}+55\times \frac{2}{100}$$

Cancel out 25 and 25.

$$\frac{1127}{50}+2+55\times \frac{2}{100}$$

Convert 2 to fraction \frac{100}{50}.

$$\frac{1127}{50}+\frac{100}{50}+55\times \frac{2}{100}$$

Since \frac{1127}{50} and \frac{100}{50} have the same denominator, add them by adding their numerators.

$$\frac{1127+100}{50}+55\times \frac{2}{100}$$

Add 1127 and 100 to get 1227.

$$\frac{1227}{50}+55\times \frac{2}{100}$$

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

$$\frac{1227}{50}+55\times \frac{1}{50}$$

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

$$\frac{1227}{50}+\frac{55}{50}$$

Since \frac{1227}{50} and \frac{55}{50} have the same denominator, add them by adding their numerators.

$$\frac{1227+55}{50}$$

Add 1227 and 55 to get 1282.

$$\frac{1282}{50}$$

Reduce the fraction \frac{1282}{50} to lowest terms by extracting and canceling out 2.

$$\frac{641}{25}$$

Factor

$$\frac{641}{5 ^ {2}} = 25\frac{16}{25} = 25.64$$