Solve 6/4+1/5+3/6

$$\frac { 6 } { 4 } + \frac { 1 } { 5 } + \frac { 3 } { 6 }$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{1}{5}+\frac{3}{6}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{2}{10}+\frac{3}{6}$$

Since \frac{15}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{10}+\frac{3}{6}$$

Add 15 and 2 to get 17.

$$\frac{17}{10}+\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{17}{10}+\frac{1}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{17}{10} and \frac{1}{2} to fractions with denominator 10.

$$\frac{17}{10}+\frac{5}{10}$$

Since \frac{17}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{17+5}{10}$$

Add 17 and 5 to get 22.

$$\frac{22}{10}$$

Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$