Solve |1/3-1/4|

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

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$|\frac{4}{12}-\frac{3}{12}|$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{4-3}{12}|$$

Subtract 3 from 4 to get 1.

$$|\frac{1}{12}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{1}{12} is \frac{1}{12}.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$