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Rita says:

   

      "I can tell from the denominators that 17/40 will convert into a terminating decimal but 17/70 will be recurring."

 

Explain how Rita can tell from the denominators, whether a fraction will convert into a terminating decimal or recurring decimal.

 Jan 20, 2019
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for it to be terminating, it must only have factors of 2 and 5 because 17 is prime.

 

therefore 17/40 or 17/(2^3*5) is terminating.

 

70 has a factor of 7, so it will be recurring

 

HOPE THIS HELPED!

 Jan 20, 2019

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