Solve 4-1/2-1/3

$$4 - \frac { 1 } { 2 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{19}{6}\approx 3.166666667$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

$$\frac{8}{2}-\frac{1}{2}-\frac{1}{3}$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{2}-\frac{1}{3}$$

Subtract 1 from 8 to get 7.

$$\frac{7}{2}-\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{21}{6}-\frac{2}{6}$$

Since \frac{21}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-2}{6}$$

Subtract 2 from 21 to get 19.

$$\frac{19}{6}$$

Factor

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$