Solve 31/6-1/9

$$\frac { 31 } { 6 } - \frac { 1 } { 9 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{31}{6} and \frac{1}{9} to fractions with denominator 18.

$$\frac{93}{18}-\frac{2}{18}$$

Since \frac{93}{18} and \frac{2}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-2}{18}$$

Subtract 2 from 93 to get 91.

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

Factor

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