Solve 5/9+9/8

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

Evaluate

$$\frac{121}{72}\approx 1.680555556$$

Solution Steps

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

$$\frac{40}{72}+\frac{81}{72}$$

Since \frac{40}{72} and \frac{81}{72} have the same denominator, add them by adding their numerators.

$$\frac{40+81}{72}$$

Add 40 and 81 to get 121.

$$\frac{121}{72}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{49}{72} = 1.6805555555555556$$