Pi(e): A Dessert & A Number!

This famous irrational number is approximately equal to 3.14159. Although this number is irrational, some of its multiples are actually rational! Yeah, you read that right.

According to the TI-84 Plus:

8π = 25 + 553/4166 or 104,703/4166

15π = 47 + 823/6643 or 313,044/6643

35π = 109 + 907/949 or 104,348/949

36π = 113 + 179/1839 or 207,986/1839

37π = 116 + 642/2687 or 312,334/2687

(To the left of the OR's above are the fractions as mixed numbers; I like to use the plus sign between the integer & the fraction!)


In the image below are the digits of Pi up to 15 digits after the decimal point:


A very close rational number to Pi is 22/7 or 3 + 1/7. If you subtract Pi from that number, you get a very small rational number!

22/7 - π = 6/4,745

Wacky, isn't it? Therefore:

π + 6/4,745 = 22/7 or 3 + 1/7

According to this Web page's theory, you can add, subtract, multiply or divide rational numbers & irrational numbers but get rational numbers as an answer!

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© Derek Cumberbatch