Solve 2/3+1/5-3

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

Evaluate

$$-\frac{32}{15}\approx -2.133333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{3}{15}-3$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{15}-3$$

Add 10 and 3 to get 13.

$$\frac{13}{15}-3$$

Convert 3 to fraction \frac{45}{15}.

$$\frac{13}{15}-\frac{45}{15}$$

Since \frac{13}{15} and \frac{45}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-45}{15}$$

Subtract 45 from 13 to get -32.

$$-\frac{32}{15}$$

Factor

$$-\frac{32}{15} = -2\frac{2}{15} = -2.1333333333333333$$