Solve 3/5-9/5+1/2

$$\frac { 3 } { 5 } - \frac { 9 } { 5 } + \frac { 1 } { 2 }$$

Evaluate

$$-\frac{7}{10}=-0.7$$

Solution Steps

Since \frac{3}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-9}{5}+\frac{1}{2}$$

Subtract 9 from 3 to get -6.

$$-\frac{6}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{6}{5} and \frac{1}{2} to fractions with denominator 10.

$$-\frac{12}{10}+\frac{5}{10}$$

Since -\frac{12}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{-12+5}{10}$$

Add -12 and 5 to get -7.

$$-\frac{7}{10}$$

Factor

$$-\frac{7}{10} = -0.7$$