Solve 5/2-1/6

$$\frac { 5 } { 2 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{5}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{15}{6}-\frac{1}{6}$$

Since \frac{15}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-1}{6}$$

Subtract 1 from 15 to get 14.

$$\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$