Solve 8/9-5/9+1/81=?

$$\frac { 8 } { 9 } - \frac { 5 } { 9 } + \frac { 1 } { 81 } = ?$$

Evaluate

$$\frac{28}{81}\approx 0.345679012$$

Solution Steps

Since \frac{8}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{9}+\frac{1}{81}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{9}+\frac{1}{81}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}+\frac{1}{81}$$

Least common multiple of 3 and 81 is 81. Convert \frac{1}{3} and \frac{1}{81} to fractions with denominator 81.

$$\frac{27}{81}+\frac{1}{81}$$

Since \frac{27}{81} and \frac{1}{81} have the same denominator, add them by adding their numerators.

$$\frac{27+1}{81}$$

Add 27 and 1 to get 28.

$$\frac{28}{81}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {4}} = 0.345679012345679$$