How to Convert Repeating Decimals to Equivalent | Common | Vulgur Fractions | Shortcut |

It sounds as if you know that, and are looking for something quicker. For simple cases, it can be done without going through all the work.

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CASE 1: __

If the repeat starts right after the decimal point, you can just divide the repeat by as many 9's as there are digits in the repeat:Compare this with the normal method, and you should quickly see why this works:

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Case 2:__

When the repeat doesn't start just after the decimal point, you can
move it there, do the conversion, and move it back:As you can see, once you have to do this, you might as well use the usual method:

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