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Which of the following numbers is a repeating decimal?

6/7
17/8
5/24
2/13

1 Answer

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Final answer:

A repeating decimal is a decimal number that has a pattern of digits that repeats indefinitely. Among the given fractions, 6/7 is a repeating decimal.


Step-by-step explanation:

A repeating decimal is a decimal number that has a pattern of digits that repeats indefinitely. To determine if a fraction is a repeating decimal, you need to check if the denominator can be written in the form 2^n * 5^m, where n and m are non-negative integers. If it can't be written in this form, then the fraction is a repeating decimal.

Among the given fractions, 6/7 is a repeating decimal. The denominator, 7, cannot be written as a power of 2 or 5.


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