Solve 1/9-(-1/27)

$$\frac { 1 } { 9 } - ( - \frac { 1 } { 27 } )$$

Evaluate

$$\frac{4}{27}\approx 0.148148148$$

Solution Steps

The opposite of -\frac{1}{27} is \frac{1}{27}.

$$\frac{1}{9}+\frac{1}{27}$$

Least common multiple of 9 and 27 is 27. Convert \frac{1}{9} and \frac{1}{27} to fractions with denominator 27.

$$\frac{3}{27}+\frac{1}{27}$$

Since \frac{3}{27} and \frac{1}{27} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{27}$$

Add 3 and 1 to get 4.

$$\frac{4}{27}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {3}} = 0.14814814814814814$$