Solve (1/2-0,7)*(1,85+3/20

$$( \frac { 1 } { 2 } - 0,7 ) \cdot ( 1,85 + \frac { 3 } { 20 }$$

Evaluate

$$-0,4$$

Solution Steps

Convert decimal number 0,7 to fraction \frac{7}{10}.

$$\left(\frac{1}{2}-\frac{7}{10}\right)\left(1,85+\frac{3}{20}\right)$$

Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{7}{10} to fractions with denominator 10.

$$\left(\frac{5}{10}-\frac{7}{10}\right)\left(1,85+\frac{3}{20}\right)$$

Since \frac{5}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-7}{10}\left(1,85+\frac{3}{20}\right)$$

Subtract 7 from 5 to get -2.

$$\frac{-2}{10}\left(1,85+\frac{3}{20}\right)$$

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

$$-\frac{1}{5}\left(1,85+\frac{3}{20}\right)$$

Convert decimal number 1,85 to fraction \frac{185}{100}. Reduce the fraction \frac{185}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{5}\left(\frac{37}{20}+\frac{3}{20}\right)$$

Since \frac{37}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$-\frac{1}{5}\times \frac{37+3}{20}$$

Add 37 and 3 to get 40.

$$-\frac{1}{5}\times \frac{40}{20}$$

Divide 40 by 20 to get 2.

$$-\frac{1}{5}\times 2$$

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

$$\frac{-2}{5}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$-\frac{2}{5}$$

Factor

$$-0,4$$