Solve 13/27-(13/27-1/9)=

$$\frac { 13 } { 27 } - ( \frac { 13 } { 27 } - \frac { 1 } { 9 } ) =$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Least common multiple of 27 and 9 is 27. Convert \frac{13}{27} and \frac{1}{9} to fractions with denominator 27.

$$\frac{13}{27}-\left(\frac{13}{27}-\frac{3}{27}\right)$$

Since \frac{13}{27} and \frac{3}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13}{27}-\frac{13-3}{27}$$

Subtract 3 from 13 to get 10.

$$\frac{13}{27}-\frac{10}{27}$$

Since \frac{13}{27} and \frac{10}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-10}{27}$$

Subtract 10 from 13 to get 3.

$$\frac{3}{27}$$

Reduce the fraction \frac{3}{27} to lowest terms by extracting and canceling out 3.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$