Solve 1/2+1/3/6

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

Evaluate

$$\frac{5}{36}\approx 0.138888889$$

Solution Steps

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

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

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

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

Add 3 and 2 to get 5.

$$\frac{\frac{5}{6}}{6}$$

Express \frac{\frac{5}{6}}{6} as a single fraction.

$$\frac{5}{6\times 6}$$

Multiply 6 and 6 to get 36.

$$\frac{5}{36}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {2}} = 0.1388888888888889$$