pi is an irrational number and so has an infinitely long, non-recurring decimal representation. So given any fraction, it is possible to get a nearer fraction by adding another decimal digit.For example, consider the sequence:
3 = 3/1
3.1 = 31/10
3.14 = 314/100
3.142 = 3142/1000
3.1416 = 31416/10000
Each fraction is closer than the one above but this sequence never ends.
Pi written as an improper fraction is 22/722 over 7
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
Pi is an irrational number. A rational number is one that can be expressed as a fraction (or ratio), e.g. 1/3. There are fractions that are near Pi, for example: 22/7 = 3.142857 (PI = 3.14159265...) A closer fraction is: 355/113 = 3.14159292 However whatever fraction you have, you will never get exactly PI. Hence it is irrational See the links for proofs that pi is irrational.
As many as you like; pi is an irrational number. That means that there are no two whole numbers that you can make into a fraction exactly equal to pi. It also means that if you start to calculate pi as a decimal it never ends and never recurrs. It just goes on forever. A few years ago two Japanese people calculated pi to eight million places of decimals, which they then published in a book. It just never ends. * * * * * Update: in October 2011, pi to 10 trillion (and 50) digits was published. See link.
Basically No, The number pi has a decimal fraction that goes on forever and never falls into a repeating pattern. That is characteristic of irrational numbers like pi.
One can define an infinite number of fractions to successively approximate pi, and get closer and closer to pi's value. There is no closest fraction to pi. No matter how close the fraction is to pi you can always find one that is closer.
One can define an infinite number of fractions to successively approximate pi, and get closer and closer to pi's value. There is no closest fraction to pi. No matter how close the fraction is to pi you can always find one that is closer
22 over 7 is the fractiron closest to pi
22 over 7
It is: 22/7
The fraction 22/7 is close to PI for four significant digits.
Pi is a number. You get pi when you divide the circumference of a circle by it's radius. 22/7=3.14 is the closest fraction.
22 divided by 7 is 3.14, making 22/7 the closest fraction to the value of pi.
22/7 I think is the closest fraction you will get. By definition it is irrational, and cannot be written as fraction of integer numbers. There are a few fractions that are close approximates though. Pi cannot be technically written as a fraction. However, a fraction that is a close approximation of pi is 22/7.
337/120
"Not as a decimal or fraction as there are an infinite number of digits." This is a common and useful answer. The *correct* answer is that PI is firstly an irrational number that cannot be calculated from any ratio (fraction). Secondly, PI is a transcendental number that, by the definition of "transcendental", cannot be exactly calculated. The nest you can do is to apply an infinite convergent series that becomes more and more accurate with more and more decimal places.
22/7 or 3 1/7 is the closest known fraction