On the Process of Extracting a Fraction from a Recurring Decimal.

(Named as a parody of the common titles of real mathematical papers). Consists of three methods, each of which is used in a different situation.

Method 1.

To be used if the number is in the form n = 0. recurring digits

Number of recurring digits = x

P  =  recurring combination

Q = 10x – 1

Method 2.

To be used if the number is in the form n = 0. r recurring digits

Number of digits in r = y

n x 10y = r. recurring digits

If r ≠ 0, then use Method 3.

If r = 0, then use Method 1.

Method 3.

To be used if the number is in the form n = r. recurring digits

Subtract r from n.

Apply Method 1 to n – r

Add (10x – 1)r to p.

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