Solve ((20,9-141/2:5)*0,2+134/5)*2

$$( ( 20,9 - 14 \frac { 1 } { 2 } : 5 ) \cdot 0,2 + 13 \frac { 4 } { 5 } ) \cdot 2$$

Evaluate

$$34,8$$

Solution Steps

Express \frac{\frac{14\times 2+1}{2}}{5} as a single fraction.

$$\left(\left(20,9-\frac{14\times 2+1}{2\times 5}\right)\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Multiply 14 and 2 to get 28.

$$\left(\left(20,9-\frac{28+1}{2\times 5}\right)\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Add 28 and 1 to get 29.

$$\left(\left(20,9-\frac{29}{2\times 5}\right)\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Multiply 2 and 5 to get 10.

$$\left(\left(20,9-\frac{29}{10}\right)\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Convert decimal number 20,9 to fraction \frac{209}{10}.

$$\left(\left(\frac{209}{10}-\frac{29}{10}\right)\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Since \frac{209}{10} and \frac{29}{10} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{209-29}{10}\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Subtract 29 from 209 to get 180.

$$\left(\frac{180}{10}\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Divide 180 by 10 to get 18.

$$\left(18\times 0,2+\frac{13\times 5+4}{5}\right)\times 2$$

Multiply 18 and 0,2 to get 3,6.

$$\left(3,6+\frac{13\times 5+4}{5}\right)\times 2$$

Multiply 13 and 5 to get 65.

$$\left(3,6+\frac{65+4}{5}\right)\times 2$$

Add 65 and 4 to get 69.

$$\left(3,6+\frac{69}{5}\right)\times 2$$

Convert decimal number 3,6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{18}{5}+\frac{69}{5}\right)\times 2$$

Since \frac{18}{5} and \frac{69}{5} have the same denominator, add them by adding their numerators.

$$\frac{18+69}{5}\times 2$$

Add 18 and 69 to get 87.

$$\frac{87}{5}\times 2$$

Express \frac{87}{5}\times 2 as a single fraction.

$$\frac{87\times 2}{5}$$

Multiply 87 and 2 to get 174.

$$\frac{174}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 29}{5} = 34\frac{4}{5} = 34.8$$