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

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

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

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

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

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 1 to get 4.

$$\frac{4}{6}-\left(-6\right)$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}-\left(-6\right)$$

The opposite of -6 is 6.

$$\frac{2}{3}+6$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{2}{3}+\frac{18}{3}$$

Since \frac{2}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+18}{3}$$

Add 2 and 18 to get 20.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$