Solve 1/9+1/27+1/27*3

$$\frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 27 \times 3 }$$

Evaluate

$$\frac{13}{81}\approx 0.160493827$$

Solution Steps

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

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

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

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

Add 3 and 1 to get 4.

$$\frac{4}{27}+\frac{1}{27\times 3}$$

Multiply 27 and 3 to get 81.

$$\frac{4}{27}+\frac{1}{81}$$

Least common multiple of 27 and 81 is 81. Convert \frac{4}{27} and \frac{1}{81} to fractions with denominator 81.

$$\frac{12}{81}+\frac{1}{81}$$

Since \frac{12}{81} and \frac{1}{81} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{81}$$

Add 12 and 1 to get 13.

$$\frac{13}{81}$$

Factor

$$\frac{13}{3 ^ {4}} = 0.16049382716049382$$