Wednesday, March 9, 2016

Easy shortcut for converting a repeating decimal to a fraction

Easy shortcut for converting a repeating fraction to a decimal.

First, with the numerator, if you only have repeating numbers like .222 you write the repeating number as your numerator.
If you have a mixed recurring decimal like .16666 subtract 
Notice the 1 does not repeat like the 6.
The non-repeating number from the repeating number. Make sure the repeating number has the same number of digits as the repeating number. 
The denominator rules for non-repeating numbers, add a 0 ,and a 9 for repeating numbers.
Once you write the fraction you then reduce.

The video works the following example problems.

Convert .333 to a fraction

Convert .666 to a fraction

and the following repeating decimals, .1818,  .4166, .2518, and even .70643889889.
This shortcut works on all repeating fractions.


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