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Write-up


Title
Convert Repeating Decimal  Pi to Fraction  Form

Problem Statement
Convert  Pi to a fraction  (Π≈3.14159≈3.14≈22/7)

Problem setup

          _______

22/7=3.142857

 

Plans to Solve/Investigate the Problem

Convert Pi into fraction using:

Divisibility rules

Algebra

Reducing fractions

Even & Odd numbers

Computations

 

 

Investigation/Exploration of the Problem

Pi = 3.142857

 

 

X=3.142857

                                           ______

1,000,000 X = 3142857 * 142857

                                           ______

               - X -              3 * 142857

____________________________

999,999 X =3,142,854

 

X= 314 285411=    285714 9

_________________________

      999,999  11 =   90909   9

     

31746 3= 10582 13=814 37

_________________________

10101 3=   3367 13=259 37

 

=22/7

 

To check solution

7 22.000,0000=3.1428571428.......