Solve 2/8+2/6+17/12

$$\frac { 2 } { 8 } + \frac { 2 } { 6 } + \frac { 17 } { 12 }$$

Evaluate

$$2$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{2}{6}+\frac{17}{12}$$

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

$$\frac{1}{4}+\frac{1}{3}+\frac{17}{12}$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{4}{12}+\frac{17}{12}$$

Since \frac{3}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{12}+\frac{17}{12}$$

Add 3 and 4 to get 7.

$$\frac{7}{12}+\frac{17}{12}$$

Since \frac{7}{12} and \frac{17}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+17}{12}$$

Add 7 and 17 to get 24.

$$\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$2$$

Factor

$$2$$