Solve 4/9+5/12+1/6

$$\frac { 4 } { 9 } + \frac { 5 } { 12 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{37}{36}\approx 1.027777778$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{4}{9} and \frac{5}{12} to fractions with denominator 36.

$$\frac{16}{36}+\frac{15}{36}+\frac{1}{6}$$

Since \frac{16}{36} and \frac{15}{36} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{36}+\frac{1}{6}$$

Add 16 and 15 to get 31.

$$\frac{31}{36}+\frac{1}{6}$$

Least common multiple of 36 and 6 is 36. Convert \frac{31}{36} and \frac{1}{6} to fractions with denominator 36.

$$\frac{31}{36}+\frac{6}{36}$$

Since \frac{31}{36} and \frac{6}{36} have the same denominator, add them by adding their numerators.

$$\frac{31+6}{36}$$

Add 31 and 6 to get 37.

$$\frac{37}{36}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{1}{36} = 1.0277777777777777$$