Solve 61/9-1/6

$$6 \frac { 1 } { 9 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{107}{18}\approx 5.944444444$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+1}{9}-\frac{1}{6}$$

Add 54 and 1 to get 55.

$$\frac{55}{9}-\frac{1}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{55}{9} and \frac{1}{6} to fractions with denominator 18.

$$\frac{110}{18}-\frac{3}{18}$$

Since \frac{110}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{110-3}{18}$$

Subtract 3 from 110 to get 107.

$$\frac{107}{18}$$

Factor

$$\frac{107}{2 \cdot 3 ^ {2}} = 5\frac{17}{18} = 5.944444444444445$$