Solve 1/8+5/9

$$\frac { 1 } { 8 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{49}{72}\approx 0.680555556$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{1}{8} and \frac{5}{9} to fractions with denominator 72.

$$\frac{9}{72}+\frac{40}{72}$$

Since \frac{9}{72} and \frac{40}{72} have the same denominator, add them by adding their numerators.

$$\frac{9+40}{72}$$

Add 9 and 40 to get 49.

$$\frac{49}{72}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 0.6805555555555556$$