What is 1/3+2/9+4/27+8/81+16/243 ?

The solution to 1/3+2/9+4/27+8/81+16/243 is 211/243

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simplify 1/3+2/9+4/27+8/81+16/243

simplify

\frac{1}{3} + \frac{2}{9} + \frac{4}{27} + \frac{8}{81} + \frac{16}{243}

\frac{211}{243}

Decimal Notation

0.86831 \dots

Solution steps

\frac{1}{3} + \frac{2}{9} + \frac{4}{27} + \frac{8}{81} + \frac{16}{243}

Least Common Multiplier of

3, 9, 27, 81, 243 : 243

Adjust Fractions based on the LCM

= \frac{81}{243} + \frac{54}{243} + \frac{36}{243} + \frac{24}{243} + \frac{16}{243}

Apply the fraction rule:

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

= \frac{81 + 54 + 36 + 24 + 16}{243}

81 + 54 + 36 + 24 + 16 = 211

= \frac{211}{243}

52 + 52

23 \cdot 33

\frac{18}{6}

(1 - 3 x) (2 - 3 x)

\frac{4 x + 1}{x ^{2} - 4} - \frac{3}{x - 2}

What is 1/3+2/9+4/27+8/81+16/243 ?
The solution to 1/3+2/9+4/27+8/81+16/243 is 211/243