Solve 8/9+15/8

$$\frac { 8 } { 9 } + 1 \frac { 5 } { 8 }$$

Evaluate

$$\frac{181}{72}\approx 2.513888889$$

Solution Steps

Multiply 1 and 8 to get 8.

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

Add 8 and 5 to get 13.

$$\frac{8}{9}+\frac{13}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{8}{9} and \frac{13}{8} to fractions with denominator 72.

$$\frac{64}{72}+\frac{117}{72}$$

Since \frac{64}{72} and \frac{117}{72} have the same denominator, add them by adding their numerators.

$$\frac{64+117}{72}$$

Add 64 and 117 to get 181.

$$\frac{181}{72}$$

Factor

$$\frac{181}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{37}{72} = 2.513888888888889$$