Solve 1/5-2/1*(3/2-1)+0,3

$$\frac { 1 } { 5 } - \frac { 2 } { 1 } \times ( \frac { 3 } { 2 } - 1 ) + 0,3$$

Evaluate

$$-0,5$$

Solution Steps

Anything divided by one gives itself.

$$\frac{1}{5}-2\left(\frac{3}{2}-1\right)+0,3$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{1}{5}-2\left(\frac{3}{2}-\frac{2}{2}\right)+0,3$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{5}-2\times \frac{3-2}{2}+0,3$$

Subtract 2 from 3 to get 1.

$$\frac{1}{5}-2\times \frac{1}{2}+0,3$$

Cancel out 2 and 2.

$$\frac{1}{5}-1+0,3$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{1}{5}-\frac{5}{5}+0,3$$

Since \frac{1}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5}{5}+0,3$$

Subtract 5 from 1 to get -4.

$$-\frac{4}{5}+0,3$$

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$-\frac{4}{5}+\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{8}{10}+\frac{3}{10}$$

Since -\frac{8}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{10}$$

Add -8 and 3 to get -5.

$$\frac{-5}{10}$$

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

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

Factor

$$-0,5$$