Is their a fraction that is equal to pi the mathimatic term?
2007-04-07 11:52:51 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
no ... pi is irrational so it can't be expressed as a ratio
2007-04-07 11:56:27 · answer #1 · answered by hustolemyname 6 · 0⤊ 0⤋
No. Pi is transcendental (not the root of any polynomial with strictly rational roots). Specifically, there's no fraction, square root, or any related expression that's exact. This has been proved both mathematically and geometrically.
However, 22/7 is a pretty good approximation. If you want one that's close enough for almost all engineering purposes, try 355/113: it's easy to remember and frighteningly close.
2007-04-07 11:59:58 · answer #2 · answered by norcekri 7 · 1⤊ 0⤋
There is no equal fraction to pi because it is an irrational number and goes on to infinity
2007-04-07 12:03:35 · answer #3 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
there is not any fraction (i.e., ratio of two integers) it rather is precisely equivalent to pi. The data for this demands calculus. There are a pair of wonderful internet content that instruct this; commence with the Wikipedia article in case you may save on with it.
2016-10-21 07:32:57 · answer #4 · answered by dudik 4 · 0⤊ 0⤋
Pi was proven to be transcendental, which means that it CANNOT be expressed by elementary operations - for example, it cannot be described as the solution to a polynomial. Every transcendental number is also irrational, meaning that it CANNOT be expressed as a fraction. (Note: not all irrationals are transcendental... sqrt(2) is irrational (cannot be a fraction), but is not transcendental, as it is the soultion to x^2=2.)
2007-04-07 12:02:40 · answer #5 · answered by vworldv 2 · 0⤊ 0⤋
no, because pi is an irrational number. the closest fraction to pi is 22/7
2007-04-07 12:01:38 · answer #6 · answered by Meena 1 · 0⤊ 1⤋
Use 22/7
2007-04-07 11:56:21 · answer #7 · answered by ecolink 7 · 0⤊ 2⤋
No. Pi is irrational so it cannot be represented as a fraction of integers.
2007-04-07 11:57:56 · answer #8 · answered by jrome 2 · 0⤊ 0⤋
355/113 is really acurate works well for engineering purposes (i should know) but if you need a result as authentic as you could get with a normal integrer form of pi just simplify it in a scientific calculator.
2007-04-07 12:14:32 · answer #9 · answered by HeWhoRunsWithScissors 2 · 0⤊ 0⤋
There is no single fraction that equals pi exactly, as others have pointed out, because pi is known to be irrational, and thus cannot be expressed as a ratio by definition.
However, it can be expressed as a continued fraction. For instance,
pi=
~~~~~~~~~4
----------------------------------
~~~~~~~~~~~~~1
~~1 + ------------------------------
~~~~~~~~~~~~~~4
~~~~~3 + -------------------------
~~~~~~~~~~~~~~~9
~~~~~~~~5 + --------------------
~~~~~~~~~~~~~~~~~16
~~~~~~~~~~~7 + .....
Please ignore the ~'s. I had to use them to space things out because yahoo kills extra spaces.
2007-04-07 12:11:48 · answer #10 · answered by Global_Investor 3 · 0⤊ 0⤋
No, there is not. Pi goes on to an infinite number of decimal places, therefore it is irrational.
2007-04-07 11:57:57 · answer #11 · answered by j 4 · 0⤊ 0⤋