Solve 4/9+1/12

$$\frac { 4 } { 9 } + \frac { 1 } { 12 }$$

Evaluate

$$\frac{19}{36}\approx 0.527777778$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{4}{9} and \frac{1}{12} to fractions with denominator 36.

$$\frac{16}{36}+\frac{3}{36}$$

Since \frac{16}{36} and \frac{3}{36} have the same denominator, add them by adding their numerators.

$$\frac{16+3}{36}$$

Add 16 and 3 to get 19.

$$\frac{19}{36}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3 ^ {2}} = 0.5277777777777778$$