Solve 1/2*1/6+5/9

$$\frac { 1 } { 2 } \times \frac { 1 } { 6 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{23}{36}\approx 0.638888889$$

Solution Steps

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

$$\frac{1\times 1}{2\times 6}+\frac{5}{9}$$

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

$$\frac{1}{12}+\frac{5}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{1}{12} and \frac{5}{9} to fractions with denominator 36.

$$\frac{3}{36}+\frac{20}{36}$$

Since \frac{3}{36} and \frac{20}{36} have the same denominator, add them by adding their numerators.

$$\frac{3+20}{36}$$

Add 3 and 20 to get 23.

$$\frac{23}{36}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3 ^ {2}} = 0.6388888888888888$$