Solve (1/3+1/2)1/2

$$( \frac { 1 } { 3 } + \frac { 1 } { 2 } ) \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

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

$$\left(\frac{2}{6}+\frac{3}{6}\right)\times \frac{1}{2}$$

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

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

Add 2 and 3 to get 5.

$$\frac{5}{6}\times \frac{1}{2}$$

Multiply \frac{5}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{6\times 2}$$

Do the multiplications in the fraction \frac{5\times 1}{6\times 2}.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$