Solve (1/2-2+3/5)10

$$( \frac { 1 } { 2 } - 2 + \frac { 3 } { 5 } ) 10$$

Evaluate

$$-9$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$\left(\frac{1}{2}-\frac{4}{2}+\frac{3}{5}\right)\times 10$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{1-4}{2}+\frac{3}{5}\right)\times 10$$

Subtract 4 from 1 to get -3.

$$\left(-\frac{3}{2}+\frac{3}{5}\right)\times 10$$

Least common multiple of 2 and 5 is 10. Convert -\frac{3}{2} and \frac{3}{5} to fractions with denominator 10.

$$\left(-\frac{15}{10}+\frac{6}{10}\right)\times 10$$

Since -\frac{15}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{-15+6}{10}\times 10$$

Add -15 and 6 to get -9.

$$-\frac{9}{10}\times 10$$

Cancel out 10 and 10.

$$-9$$

Factor

$$-9$$