Math and Arithmetic

# What is the most accurate fraction for pi?

Pi, being irrational, has an endless number of digits to the right of the decimal, as you know. But for almost any application, even basic engineering, a value of 3.1417 is highly accurate.

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## Related Questions

Pi is infinite. It can't be converted into a accurate fraction. 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196 4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273 724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...

Since pi is irrational, there is (by definition) no way to express it as an exact fraction. Even so, many people write it as 22/7, which is a fairly accurate representation. But it is not exact!

According to most news sources (and Wikipedia), the most accurate calculation of pi currently stands at five trillion digits (5,000,000,000,000 digits!) That's quite a lot.

The equivalency of Pi in a fraction is 22/7.

PI = 3.14159265... Most famous fraction is 22/7 = 3.142857... However better is 355/113 = 3.14159292... Ratty

pi is an irrational number and so there is no equivalent fraction.

No. pi/2 is a fraction but, since pi is irrational, so it pi/2.

355/113, originally from China. It's value is 3.14159292035, accurate to 6 decimal places.

22/7 is fairly accurate to 2 decimal places: 3.14 and it the most commonly used one. 333/106 is accurate to the first 4 decimal places: 3.1415 355/113 is accurate to the first 6 decimal places: 3.141592

22/7 is the globally accepted fraction for the decimal number Pi.

22/7 (roughly). There is no fraction exactly equal to pi

The equivalent fraction for Pi is 22/7 or 31/7

You can't write pi accurately as a fraction, but you can approximate it with 22/7.

3.141592654 * * * * * 10 trillion digits as of July 2012.

Fractional representations of irrational numbers won't be accurate. Many people have used 355/113 as a close approximation.

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

The circumference is 2*pi*radius. It does not matter if the radius is an integer or a fraction.The circumference is 2*pi*radius. It does not matter if the radius is an integer or a fraction.The circumference is 2*pi*radius. It does not matter if the radius is an integer or a fraction.The circumference is 2*pi*radius. It does not matter if the radius is an integer or a fraction.

Pi cannot be expressed exactly as any fraction (including as a fraction of powers of 10, which is what a decimal fraction is). There are an infinite number of place values in the number 'pi'.

While there is no fraction form for pi, 22/7 is an approximation of pi that can be used for a rough calculation .

Pi = 355/113. That improper fraction is accurate to six decimal places. Pi is the ratio of a circle's circumference to its diameter. Please search on "Pi" using this site's search utility to find many questions that deal with it. Some links can be found below.

'pi' has been calculated, and its value published, out to hundreds of decimal places.I guess you'd have to say that the value printed in that publication is the most accurateever presented so far. If any shorter or simpler combination of numbers or operationsexisted and was more accurate, we'd be using it.That's why we don't use numbers or operations to denote pi. That's why we use a symbolwhen we need to indicate it. The symbol is called 'pi'.

Pi is not an exact fraction, it is approximately 22/7. Rather, 21.99114858.........over 7

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