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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.

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9y ago

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