Solve (+1/2)-(+2/3)-(-11/6)

$$( + \frac { 1 } { 2 } ) - ( + \frac { 2 } { 3 } ) - ( - 1 \frac { 1 } { 6 } )$$

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.

$$\frac{3}{6}-\frac{4}{6}-\left(-\frac{1\times 6+1}{6}\right)$$

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

$$\frac{3-4}{6}-\left(-\frac{1\times 6+1}{6}\right)$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{6}-\left(-\frac{1\times 6+1}{6}\right)$$

Multiply 1 and 6 to get 6.

$$-\frac{1}{6}-\left(-\frac{6+1}{6}\right)$$

Add 6 and 1 to get 7.

$$-\frac{1}{6}-\left(-\frac{7}{6}\right)$$

The opposite of -\frac{7}{6} is \frac{7}{6}.

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

Since -\frac{1}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

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

Add -1 and 7 to get 6.

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

Divide 6 by 6 to get 1.

$$1$$

Factor

$$1$$