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# Fractions and Decimals

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112
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+321

What is the smallest positive integer n such that 1/n is equal to a decimal number with an 8 -digit repeating block?

Apr 9, 2021
edited by itachiuchihakujo  Apr 9, 2021

#1
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Checking by computer, we get 137: $\frac{1}{137} = \overline{0.00729927}$

Apr 9, 2021
#2
+321
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thats wrong :(

itachiuchihakujo  Apr 9, 2021