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Converting numbers with Repeating decimals to Fractions

Numbers with repeating decimals are rational numbers. These numbers can be written as fractions



One digit repeat, repeating become repeating number/9

Two digit repeat, repeating becomes repeating numbers/99


Three digit repeat, repeating becomes repeating numbers/999

For example:



1. 0.222222.... = 2/9


2. 0.2727272..=27/99 =3/11


3. 0.123123....=123/999 = 41/333




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