Solve 84/9+55/6

$$8 \frac { 4 } { 9 } + 5 \frac { 5 } { 6 }$$

Evaluate

$$\frac{257}{18}\approx 14.277777778$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{72+4}{9}+\frac{5\times 6+5}{6}$$

Add 72 and 4 to get 76.

$$\frac{76}{9}+\frac{5\times 6+5}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{76}{9}+\frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{76}{9}+\frac{35}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{76}{9} and \frac{35}{6} to fractions with denominator 18.

$$\frac{152}{18}+\frac{105}{18}$$

Since \frac{152}{18} and \frac{105}{18} have the same denominator, add them by adding their numerators.

$$\frac{152+105}{18}$$

Add 152 and 105 to get 257.

$$\frac{257}{18}$$

Factor

$$\frac{257}{2 \cdot 3 ^ {2}} = 14\frac{5}{18} = 14.277777777777779$$