Solve |11/3-1/2|

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 1 and 3 to get 3.

$$|\frac{3+1}{3}-\frac{1}{2}|$$

Add 3 and 1 to get 4.

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

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$|\frac{8}{6}-\frac{3}{6}|$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{8-3}{6}|$$

Subtract 3 from 8 to get 5.

$$|\frac{5}{6}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{5}{6} is \frac{5}{6}.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$