Solve 321/6-195/9

$$32 \frac { 1 } { 6 } - 19 \frac { 5 } { 9 }$$

Evaluate

$$\frac{227}{18}\approx 12.611111111$$

Solution Steps

Multiply 32 and 6 to get 192.

$$\frac{192+1}{6}-\frac{19\times 9+5}{9}$$

Add 192 and 1 to get 193.

$$\frac{193}{6}-\frac{19\times 9+5}{9}$$

Multiply 19 and 9 to get 171.

$$\frac{193}{6}-\frac{171+5}{9}$$

Add 171 and 5 to get 176.

$$\frac{193}{6}-\frac{176}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{193}{6} and \frac{176}{9} to fractions with denominator 18.

$$\frac{579}{18}-\frac{352}{18}$$

Since \frac{579}{18} and \frac{352}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{579-352}{18}$$

Subtract 352 from 579 to get 227.

$$\frac{227}{18}$$

Factor

$$\frac{227}{2 \cdot 3 ^ {2}} = 12\frac{11}{18} = 12.61111111111111$$