Converting repeating decimals to fraction shortcut

August 12, 2019

 

One digit repeat, repeating number /9

 

Two digit repeat, repeating number/99

 

Three digit repeat, repeating number/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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