Solve (3-1/5)+(2-1/6)

$$( 3 - \frac { 1 } { 5 } ) + ( 2 - \frac { 1 } { 6 } )$$

Evaluate

$$\frac{139}{30}\approx 4.633333333$$

Solution Steps

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

$$\frac{15}{5}-\frac{1}{5}+2-\frac{1}{6}$$

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

$$\frac{15-1}{5}+2-\frac{1}{6}$$

Subtract 1 from 15 to get 14.

$$\frac{14}{5}+2-\frac{1}{6}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{14}{5}+\frac{10}{5}-\frac{1}{6}$$

Since \frac{14}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{14+10}{5}-\frac{1}{6}$$

Add 14 and 10 to get 24.

$$\frac{24}{5}-\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{24}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{144}{30}-\frac{5}{30}$$

Since \frac{144}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-5}{30}$$

Subtract 5 from 144 to get 139.

$$\frac{139}{30}$$

Factor

$$\frac{139}{2 \cdot 3 \cdot 5} = 4\frac{19}{30} = 4.633333333333334$$