Solve 8/9+81/6

$$\frac { 8 } { 9 } + 8 \frac { 1 } { 6 }$$

Evaluate

$$\frac{163}{18}\approx 9.055555556$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{8}{9}+\frac{48+1}{6}$$

Add 48 and 1 to get 49.

$$\frac{8}{9}+\frac{49}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{8}{9} and \frac{49}{6} to fractions with denominator 18.

$$\frac{16}{18}+\frac{147}{18}$$

Since \frac{16}{18} and \frac{147}{18} have the same denominator, add them by adding their numerators.

$$\frac{16+147}{18}$$

Add 16 and 147 to get 163.

$$\frac{163}{18}$$

Factor

$$\frac{163}{2 \cdot 3 ^ {2}} = 9\frac{1}{18} = 9.055555555555555$$