Solve 8/9+9/8=

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

Evaluate

$$\frac{145}{72}\approx 2.013888889$$

Solution Steps

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

$$\frac{64}{72}+\frac{81}{72}$$

Since \frac{64}{72} and \frac{81}{72} have the same denominator, add them by adding their numerators.

$$\frac{64+81}{72}$$

Add 64 and 81 to get 145.

$$\frac{145}{72}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{1}{72} = 2.013888888888889$$