Solve (4-1/3)-1/2=

$$( 4 - \frac { 1 } { 3 } ) - \frac { 1 } { 2 } =$$

Evaluate

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

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{12}{3}-\frac{1}{3}-\frac{1}{2}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{3}-\frac{1}{2}$$

Subtract 1 from 12 to get 11.

$$\frac{11}{3}-\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{11}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{22}{6}-\frac{3}{6}$$

Since \frac{22}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-3}{6}$$

Subtract 3 from 22 to get 19.

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

Factor

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