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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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