Question 110243: Fraction Decimal Form Terminate? Prime Factorization of the denominator
1/2
1/3
1/4
1/5
1/6
1/7
1/8
1/9
1/10
1/11
1/12
State the general rule describing which fractions have decimal forms that terminate and which have decimal forms that repeat. That is, be able to predict whether a fraction such as 1/25 or 1/30 has a terminating decimal or a repeating decimal. Then confirm your prediction.
Answer by CubeyThePenguin(3113)   (Show Source):
You can put this solution on YOUR website! A fraction will terminate if it has a denominator of the form  , where p and q are positive integers.
Terminate: 1/2, 1/4, 1/5, 1/8, 1/10
Doesn't terminate: 1/3, 1/6, 1/7, 1/9, 1/11, 1/12
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