Solve 1/12+1/16+1/18

$$\frac { 1 } { 12 } + \frac { 1 } { 16 } + \frac { 1 } { 18 }$$

Evaluate

$$\frac{29}{144}\approx 0.201388889$$

Solution Steps

Least common multiple of 12 and 16 is 48. Convert \frac{1}{12} and \frac{1}{16} to fractions with denominator 48.

$$\frac{4}{48}+\frac{3}{48}+\frac{1}{18}$$

Since \frac{4}{48} and \frac{3}{48} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{48}+\frac{1}{18}$$

Add 4 and 3 to get 7.

$$\frac{7}{48}+\frac{1}{18}$$

Least common multiple of 48 and 18 is 144. Convert \frac{7}{48} and \frac{1}{18} to fractions with denominator 144.

$$\frac{21}{144}+\frac{8}{144}$$

Since \frac{21}{144} and \frac{8}{144} have the same denominator, add them by adding their numerators.

$$\frac{21+8}{144}$$

Add 21 and 8 to get 29.

$$\frac{29}{144}$$

Factor

$$\frac{29}{2 ^ {4} \cdot 3 ^ {2}} = 0.2013888888888889$$