Solve 1/3+16/81+8/27=

$$\frac{ 1 }{ 3 } + \frac{ 16 }{ 81 } + \frac{ 8 }{ 27 } =$$

Evaluate

$$\frac{67}{81}\approx 0.827160494$$

Solution Steps

Least common multiple of 3 and 81 is 81. Convert \frac{1}{3} and \frac{16}{81} to fractions with denominator 81.

$$\frac{27}{81}+\frac{16}{81}+\frac{8}{27}$$

Since \frac{27}{81} and \frac{16}{81} have the same denominator, add them by adding their numerators.

$$\frac{27+16}{81}+\frac{8}{27}$$

Add 27 and 16 to get 43.

$$\frac{43}{81}+\frac{8}{27}$$

Least common multiple of 81 and 27 is 81. Convert \frac{43}{81} and \frac{8}{27} to fractions with denominator 81.

$$\frac{43}{81}+\frac{24}{81}$$

Since \frac{43}{81} and \frac{24}{81} have the same denominator, add them by adding their numerators.

$$\frac{43+24}{81}$$

Add 43 and 24 to get 67.

$$\frac{67}{81}$$

Factor

$$\frac{67}{3 ^ {4}} = 0.8271604938271605$$