Solve 15/6+15/9+22/12

$$\frac { 15 } { 6 } + \frac { 15 } { 9 } + \frac { 22 } { 12 }$$

Evaluate

$$6$$

Solution Steps

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}+\frac{15}{9}+\frac{22}{12}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}+\frac{5}{3}+\frac{22}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{10}{6}+\frac{22}{12}$$

Since \frac{15}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{6}+\frac{22}{12}$$

Add 15 and 10 to get 25.

$$\frac{25}{6}+\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{25}{6}+\frac{11}{6}$$

Since \frac{25}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{25+11}{6}$$

Add 25 and 11 to get 36.

$$\frac{36}{6}$$

Divide 36 by 6 to get 6.

$$6$$

Factor

$$2\times 3$$