Solve 3-1/2+1/5

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

Evaluate

$$\frac{27}{10}=2.7$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

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

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

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

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

$$\frac{25}{10}+\frac{2}{10}$$

Since \frac{25}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+2}{10}$$

Add 25 and 2 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$