What does Pi equal to What is the approximation of pi in a fraction form....

Palmosigx

Palmosigx

Answered

2022-07-02

What does Pi equal to
What is the approximation of pi in a fraction form. I am very curious to know what it is. I have been seeing pi almost everywhere.

Answer & Explanation

Nicolas Calhoun

Nicolas Calhoun

Expert

2022-07-03Added 15 answers

The idea here is that you can compute the continued fraction of π and then truncate it somewhere to achieve an approximation of π = 3.141592653589
π = 3 + 1 7 + 1 15 + 1 1 + 1 292 + 1 1 + 1 1 + 1 1 + 1 2 +
The further along you truncate it, the more accurate your approximation. If we cut it off pretty early (at 7), we get the classic 22 7 approximation:
π 3 + 1 7 = 22 7 = 3.14 28571428571
If we cut it off later (say at 292), we get a better approximation:
π 3 + 1 7 + 1 15 + 1 1 + 1 292 3 + 1 7 + 1 15 + 292 293 3 + 1 7 + 293 4687 3 + 4687 33102 π 103993 33102 = 3.141592653 0119
You can use this method to get a rational number that is as close to π as you need.
Augustus Acevedo

Augustus Acevedo

Expert

2022-07-04Added 4 answers

I would say 314159265 100000000

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