Solve 19/2-1/6

$$\frac{ 19 }{ 2 } - \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{28}{3}\approx 9.333333333$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{19}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{57}{6}-\frac{1}{6}$$

Since \frac{57}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-1}{6}$$

Subtract 1 from 57 to get 56.

$$\frac{56}{6}$$

Reduce the fraction \frac{56}{6} to lowest terms by extracting and canceling out 2.

$$\frac{28}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3} = 9\frac{1}{3} = 9.333333333333334$$