What is 1/3+2/9+1/27+2/81+1/243+2/729 ?

The solution to 1/3+2/9+1/27+2/81+1/243+2/729 is 455/729

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simplify 1/3+2/9+1/27+2/81+1/243+2/729

simplify

\frac{1}{3} + \frac{2}{9} + \frac{1}{27} + \frac{2}{81} + \frac{1}{243} + \frac{2}{729}

\frac{455}{729}

Decimal Notation

0.62414 \dots

Solution steps

\frac{1}{3} + \frac{2}{9} + \frac{1}{27} + \frac{2}{81} + \frac{1}{243} + \frac{2}{729}

Least Common Multiplier of

3, 9, 27, 81, 243, 729 : 729

Adjust Fractions based on the LCM

= \frac{243}{729} + \frac{162}{729} + \frac{27}{729} + \frac{18}{729} + \frac{3}{729} + \frac{2}{729}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{243 + 162 + 27 + 18 + 3 + 2}{729}

243 + 162 + 27 + 18 + 3 + 2 = 455

= \frac{455}{729}

30 \cdot \frac{1}{2}

8 x - 9 x

\frac{56}{100}

121 + - 4 - 100 + - 25

\frac{\frac{7}{8 r - 40}}{\frac{1}{8 r - 40}}

What is 1/3+2/9+1/27+2/81+1/243+2/729 ?
The solution to 1/3+2/9+1/27+2/81+1/243+2/729 is 455/729