Solve 2/6+1/4+15

$$\frac { 2 } { 6 } + \frac { 1 } { 4 } + 15$$

Evaluate

$$\frac{187}{12}\approx 15.583333333$$

Solution Steps

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

$$\frac{1}{3}+\frac{1}{4}+15$$

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

$$\frac{4}{12}+\frac{3}{12}+15$$

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

$$\frac{4+3}{12}+15$$

Add 4 and 3 to get 7.

$$\frac{7}{12}+15$$

Convert 15 to fraction \frac{180}{12}.

$$\frac{7}{12}+\frac{180}{12}$$

Since \frac{7}{12} and \frac{180}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+180}{12}$$

Add 7 and 180 to get 187.

$$\frac{187}{12}$$

Factor

$$\frac{11 \cdot 17}{2 ^ {2} \cdot 3} = 15\frac{7}{12} = 15.583333333333334$$