Solve 8/9+15/8

$$\frac { 8 } { 9 } + \frac { 15 } { 8 }$$

Evaluate

$$\frac{199}{72}\approx 2.763888889$$

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{8}{9} and \frac{15}{8} to fractions with denominator 72.

$$\frac{64}{72}+\frac{135}{72}$$

Since \frac{64}{72} and \frac{135}{72} have the same denominator, add them by adding their numerators.

$$\frac{64+135}{72}$$

Add 64 and 135 to get 199.

$$\frac{199}{72}$$

Factor

$$\frac{199}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{55}{72} = 2.763888888888889$$