Asked by Scotty

You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
THANK YOU!
Answered by Austin Reed
1/3 7/3 and 5/3 end in recurring digits but three is not the only one because 1/6 and 5/6 and 7/6 give recurring as well and 1, 5 and 7 / 9. I believe 7 may be aswell but my calculator doesn't go far enough for me to see a pattern.

So overall 3, 6, 9 and I believe 7
Answered by Reiny
yes, a denominator of 7 results in a repeating decimal.
e.g. 4/7 = .571428571..
with the repeat as 571428

interesting to note:
1/7 = .142857142...
2/7 = .285714285..
etc
notice the repeat sequence is the same, it just starts at a different digit
try it with the other proper fractions of 7
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