Solve 8/9+7/8

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

Evaluate

$$\frac{127}{72}\approx 1.763888889$$

Solution Steps

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

$$\frac{64}{72}+\frac{63}{72}$$

Since \frac{64}{72} and \frac{63}{72} have the same denominator, add them by adding their numerators.

$$\frac{64+63}{72}$$

Add 64 and 63 to get 127.

$$\frac{127}{72}$$

Factor

$$\frac{127}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{55}{72} = 1.7638888888888888$$