Solve 17/9+7/8

$$\frac { 17 } { 9 } + \frac { 7 } { 8 }$$

Evaluate

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

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{17}{9} and \frac{7}{8} to fractions with denominator 72.

$$\frac{136}{72}+\frac{63}{72}$$

Since \frac{136}{72} and \frac{63}{72} have the same denominator, add them by adding their numerators.

$$\frac{136+63}{72}$$

Add 136 and 63 to get 199.

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

Factor

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