Solve 3-1/5+1/2

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

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

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

$$\frac{15}{5}-\frac{1}{5}+\frac{1}{2}$$

Since \frac{15}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-1}{5}+\frac{1}{2}$$

Subtract 1 from 15 to get 14.

$$\frac{14}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{14}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{28}{10}+\frac{5}{10}$$

Since \frac{28}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{28+5}{10}$$

Add 28 and 5 to get 33.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$