Solve 125/9+quad71/6

$$12 \frac { 5 } { 9 } + \quad 7 \frac { 1 } { 6 }$$

Evaluate

$$\frac{355}{18}\approx 19.722222222$$

Solution Steps

Multiply 12 and 9 to get 108.

$$\frac{108+5}{9}+\frac{7\times 6+1}{6}$$

Add 108 and 5 to get 113.

$$\frac{113}{9}+\frac{7\times 6+1}{6}$$

Multiply 7 and 6 to get 42.

$$\frac{113}{9}+\frac{42+1}{6}$$

Add 42 and 1 to get 43.

$$\frac{113}{9}+\frac{43}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{113}{9} and \frac{43}{6} to fractions with denominator 18.

$$\frac{226}{18}+\frac{129}{18}$$

Since \frac{226}{18} and \frac{129}{18} have the same denominator, add them by adding their numerators.

$$\frac{226+129}{18}$$

Add 226 and 129 to get 355.

$$\frac{355}{18}$$

Factor

$$\frac{5 \cdot 71}{2 \cdot 3 ^ {2}} = 19\frac{13}{18} = 19.72222222222222$$