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​What Can You Say About the Prime Factorisations of the Denominators of the Following Rationals: 27 . ¯ 142857 - Mathematics

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Question

​What can you say about the prime factorisations of the denominators of the following rationals: \[27 . \bar{{142857}}\]

Numerical

Solution

Since \[27 . \bar{{142857}}\] has non-terminating decimal expansion.
So, its denominator has factors other than 2 or 5.

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Chapter 1: Real Numbers - Exercise 1.6 [Page 57]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.6 | Q 4.3 | Page 57

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