Solve 55/6-7/9

$$5 \frac { 5 } { 6 } - \frac{ 7 }{ 9 }$$

Evaluate

$$\frac{91}{18}\approx 5.055555556$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+5}{6}-\frac{7}{9}$$

Add 30 and 5 to get 35.

$$\frac{35}{6}-\frac{7}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{35}{6} and \frac{7}{9} to fractions with denominator 18.

$$\frac{105}{18}-\frac{14}{18}$$

Since \frac{105}{18} and \frac{14}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-14}{18}$$

Subtract 14 from 105 to get 91.

$$\frac{91}{18}$$

Factor

$$\frac{7 \cdot 13}{2 \cdot 3 ^ {2}} = 5\frac{1}{18} = 5.055555555555555$$