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AMO 2019 Secondary 2 (Grade 8) Question 23

AMO · AMO 2019 Secondary 2 (Grade 8)

Question 23

How many fractions in the following list have terminating decimal representations? $\frac1{18},\frac1{19},\frac1{20},\frac1{21},\ldots,\frac1{64},\frac1{65},\frac1{279}$. The list contains denominators $18$ through $65$, followed by the single denominator $279$.

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