Solve =4/9+4/27+8/81

$$= \frac { 4 } { 9 } + \frac { 4 } { 27 } + \frac { 8 } { 81 }$$

Evaluate

$$\frac{56}{81}\approx 0.691358025$$

Solution Steps

Least common multiple of 9 and 27 is 27. Convert \frac{4}{9} and \frac{4}{27} to fractions with denominator 27.

$$\frac{12}{27}+\frac{4}{27}+\frac{8}{81}$$

Since \frac{12}{27} and \frac{4}{27} have the same denominator, add them by adding their numerators.

$$\frac{12+4}{27}+\frac{8}{81}$$

Add 12 and 4 to get 16.

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

Least common multiple of 27 and 81 is 81. Convert \frac{16}{27} and \frac{8}{81} to fractions with denominator 81.

$$\frac{48}{81}+\frac{8}{81}$$

Since \frac{48}{81} and \frac{8}{81} have the same denominator, add them by adding their numerators.

$$\frac{48+8}{81}$$

Add 48 and 8 to get 56.

$$\frac{56}{81}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {4}} = 0.691358024691358$$