Solve 5/18+4/9+5/36

$$\frac { 5 } { 18 } + \frac { 4 } { 9 } + \frac { 5 } { 36 }$$

Evaluate

$$\frac{31}{36}\approx 0.861111111$$

Solution Steps

Least common multiple of 18 and 9 is 18. Convert \frac{5}{18} and \frac{4}{9} to fractions with denominator 18.

$$\frac{5}{18}+\frac{8}{18}+\frac{5}{36}$$

Since \frac{5}{18} and \frac{8}{18} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{18}+\frac{5}{36}$$

Add 5 and 8 to get 13.

$$\frac{13}{18}+\frac{5}{36}$$

Least common multiple of 18 and 36 is 36. Convert \frac{13}{18} and \frac{5}{36} to fractions with denominator 36.

$$\frac{26}{36}+\frac{5}{36}$$

Since \frac{26}{36} and \frac{5}{36} have the same denominator, add them by adding their numerators.

$$\frac{26+5}{36}$$

Add 26 and 5 to get 31.

$$\frac{31}{36}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 ^ {2}} = 0.8611111111111112$$