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How can you tell if a unit fraction will terminate or reoccur without using a calculator?

Answers
All unit fractions will either terminate or reoccur. For example terminates, while reoccurs.
theo.cushion
25 October 2011
You can figure out if it will terminate or reoccur without a calculator by seeing if the denominator can be made up using the prime factors of , which are and .
theo.cushion
25 October 2011
Try it out on and
theo.cushion
25 October 2011
So for example take and terminates. However if we look at we cannot make using 's or 's, so we know it reoccurs.
theo.cushion
25 October 2011
Why do you think the prime factors of 10 are important?
theo.cushion
25 October 2011
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