Solve |1/2+2/3-1/6

$$| \frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }$$

Evaluate

$$1$$

Solution Steps

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

$$|\frac{3}{6}+\frac{4}{6}-\frac{1}{6}|$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$|\frac{3+4}{6}-\frac{1}{6}|$$

Add 3 and 4 to get 7.

$$|\frac{7}{6}-\frac{1}{6}|$$

Since \frac{7}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{7-1}{6}|$$

Subtract 1 from 7 to get 6.

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

Divide 6 by 6 to get 1.

$$|1|$$

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

$$1$$

Factor

$$1$$