Solve 5/9-(-1/6)

$$\frac{ 5 }{ 9 } -(- \frac{ 1 }{ 6 } )$$

Evaluate

$$\frac{13}{18}\approx 0.722222222$$

Solution Steps

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{5}{9}+\frac{1}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{5}{9} and \frac{1}{6} to fractions with denominator 18.

$$\frac{10}{18}+\frac{3}{18}$$

Since \frac{10}{18} and \frac{3}{18} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{18}$$

Add 10 and 3 to get 13.

$$\frac{13}{18}$$

Factor

$$\frac{13}{2 \cdot 3 ^ {2}} = 0.7222222222222222$$