Solve 8/9+61/6

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

Evaluate

$$\frac{127}{18}\approx 7.055555556$$

Solution Steps

Multiply 6 and 6 to get 36.

$$\frac{8}{9}+\frac{36+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{8}{9}+\frac{37}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{8}{9} and \frac{37}{6} to fractions with denominator 18.

$$\frac{16}{18}+\frac{111}{18}$$

Since \frac{16}{18} and \frac{111}{18} have the same denominator, add them by adding their numerators.

$$\frac{16+111}{18}$$

Add 16 and 111 to get 127.

$$\frac{127}{18}$$

Factor

$$\frac{127}{2 \cdot 3 ^ {2}} = 7\frac{1}{18} = 7.055555555555555$$