In a fraction with the denominator of 15, which value could the numerator be to produce a repeating decimal?

a) 15
b) 9
c) 11
d) 12

3 answers

Divide the numerator by the denominator.

I'll be glad to check your answer.
all fractions whose denominator (in lowest terms) contains only powers of 2 and 5 terminate.
Any other factor in the bottom produces a repeating decimal.
So, your numerator can be anything that does not have a factor of 3 to cancel the 3 in 15.
15
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