Solve 175/9+185/6

$$17 \frac { 5 } { 9 } + 18 \frac { 5 } { 6 }$$

Evaluate

$$\frac{655}{18}\approx 36.388888889$$

Solution Steps

Multiply 17 and 9 to get 153.

$$\frac{153+5}{9}+\frac{18\times 6+5}{6}$$

Add 153 and 5 to get 158.

$$\frac{158}{9}+\frac{18\times 6+5}{6}$$

Multiply 18 and 6 to get 108.

$$\frac{158}{9}+\frac{108+5}{6}$$

Add 108 and 5 to get 113.

$$\frac{158}{9}+\frac{113}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{158}{9} and \frac{113}{6} to fractions with denominator 18.

$$\frac{316}{18}+\frac{339}{18}$$

Since \frac{316}{18} and \frac{339}{18} have the same denominator, add them by adding their numerators.

$$\frac{316+339}{18}$$

Add 316 and 339 to get 655.

$$\frac{655}{18}$$

Factor

$$\frac{5 \cdot 131}{2 \cdot 3 ^ {2}} = 36\frac{7}{18} = 36.388888888888886$$