Solve 3/6+1/3+14/12

$$\frac { 3 } { 6 } + \frac { 1 } { 3 } + \frac { 14 } { 12 }$$

Evaluate

$$2$$

Solution Steps

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

$$\frac{1}{2}+\frac{1}{3}+\frac{14}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{2}{6}+\frac{14}{12}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}+\frac{14}{12}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}+\frac{14}{12}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}+\frac{7}{6}$$

Since \frac{5}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+7}{6}$$

Add 5 and 7 to get 12.

$$\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$2$$

Factor

$$2$$