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well, go through each fraction one by one and see if it terminates
example: 1/3 doesn't terminate (it's 0.3333 repeating)
you got that?
pick the one with powers of ten in the denominator that will terminate
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i dont understand @satellite73 & @Vocaloid :(
\[\frac{1}{10}=0.1\] a terminating decimal
\(\frac{1}{3}=.0333...\) a repeating decimal
you want the terminating one pick the one that has powers of ten in the denominator (i know i said that before, but i don't really know another way to say it)
any fraction that has a denominator that is not a product of 5's and 2's only will NOT terminate
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this might help http://www.coolmath.com/prealgebra/02-decimals/11-decimals-terminating-01
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