Solve 3/5-3+1/3

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

Evaluate

$$-\frac{31}{15}\approx -2.066666667$$

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$\frac{3}{5}-\frac{15}{5}+\frac{1}{3}$$

Since \frac{3}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-15}{5}+\frac{1}{3}$$

Subtract 15 from 3 to get -12.

$$-\frac{12}{5}+\frac{1}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{12}{5} and \frac{1}{3} to fractions with denominator 15.

$$-\frac{36}{15}+\frac{5}{15}$$

Since -\frac{36}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{-36+5}{15}$$

Add -36 and 5 to get -31.

$$-\frac{31}{15}$$

Factor

$$-\frac{31}{15} = -2\frac{1}{15} = -2.066666666666667$$