# which representation/fraction approximates the value of $\pi$ in a better way. one which is most widely used is $\frac{22}{7}$ [duplicate]

do we know any representation/fraction other that $\frac{22}{7}$ which is a closer approximation of $\pi$

I have one representation $k$ which is not a fraction but a closer approximation of $\pi$, when compared to the fraction $\frac{22}{7}$

$k=(9.87654321)^{\frac{1}{2}}$

Here, $\pi \lt k \lt \frac{22}{7}$

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## marked as duplicate by Zhen Lin, Arthur Fischer♦, t.b., mixedmath♦Aug 20 '12 at 7:02

Sure, 314159/100000. –  JSchlather Aug 20 '12 at 6:19
Also 3.141592653589793 is a pretty good representation –  Fabian Aug 20 '12 at 6:29
Lu Chao might know a good approximation... –  Arthur Fischer Aug 20 '12 at 6:38
:D The OP has a love in the approximation of $\pi$. Example of another 22/7. –  FrenzY DT. Aug 20 '12 at 6:47
Remember that a "decimal" is, properly speaking, a decimal fraction. The approximation \pi\approx 3.1416\$ was known, in fractional form, in Hellenistic times. –  André Nicolas Aug 20 '12 at 7:05