Solve (52/5-3,65)*(43/10-2,7)=?

$$( 5 \frac { 2 } { 5 } - 3,65 ) \cdot ( 4 \frac { 3 } { 10 } - 2,7 ) = ?$$

Evaluate

$$2,8$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\left(\frac{25+2}{5}-3,65\right)\left(\frac{4\times 10+3}{10}-2,7\right)$$

Add 25 and 2 to get 27.

$$\left(\frac{27}{5}-3,65\right)\left(\frac{4\times 10+3}{10}-2,7\right)$$

Convert decimal number 3,65 to fraction \frac{365}{100}. Reduce the fraction \frac{365}{100} to lowest terms by extracting and canceling out 5.

$$\left(\frac{27}{5}-\frac{73}{20}\right)\left(\frac{4\times 10+3}{10}-2,7\right)$$

Least common multiple of 5 and 20 is 20. Convert \frac{27}{5} and \frac{73}{20} to fractions with denominator 20.

$$\left(\frac{108}{20}-\frac{73}{20}\right)\left(\frac{4\times 10+3}{10}-2,7\right)$$

Since \frac{108}{20} and \frac{73}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-73}{20}\left(\frac{4\times 10+3}{10}-2,7\right)$$

Subtract 73 from 108 to get 35.

$$\frac{35}{20}\left(\frac{4\times 10+3}{10}-2,7\right)$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}\left(\frac{4\times 10+3}{10}-2,7\right)$$

Multiply 4 and 10 to get 40.

$$\frac{7}{4}\left(\frac{40+3}{10}-2,7\right)$$

Add 40 and 3 to get 43.

$$\frac{7}{4}\left(\frac{43}{10}-2,7\right)$$

Convert decimal number 2,7 to fraction \frac{27}{10}.

$$\frac{7}{4}\left(\frac{43}{10}-\frac{27}{10}\right)$$

Since \frac{43}{10} and \frac{27}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{4}\times \frac{43-27}{10}$$

Subtract 27 from 43 to get 16.

$$\frac{7}{4}\times \frac{16}{10}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{4}\times \frac{8}{5}$$

Multiply \frac{7}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 8}{4\times 5}$$

Do the multiplications in the fraction \frac{7\times 8}{4\times 5}.

$$\frac{56}{20}$$

Reduce the fraction \frac{56}{20} to lowest terms by extracting and canceling out 4.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$