In MATLAB, $\pi$ value is given as 355/113. why? $\pi$ is an irrational number.  MATLAB shows it equal to 355/113 in fractional format.   Is there no better fractional representation than 355/113 within the limits of the finite precision the computers use?  How is the value arrived at?

The irreducible fraction $\frac{355}{113}$ of MATLAB gives certainly a good approximation, as @almagest comment. One could argue that the irreducible $\frac{208341}{66317}$ ($\frac{22}{17}+\frac{37}{47}+\frac{88}{83}$ indeed) is another rational approximation with an accuracy of nine decimal digits of exactness. However it is true that $\frac{355}{113}$ is easier to manipulate that $\frac{208341}{66317}$ which could be the MATLAB's purpose.
