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Question

Is 0.140140014000140000..... is an irrational number between 1/7 and 2/7

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Solution

(1/7) = 0.14285714 (nearly)
(2/7) = 0.28571428 (nearly)
Irrrational numbers between these two rational numbers are:
0.1505005000500005....
0.20200200020000....

0.140140014000140000 is not between 1/7 and 2/7

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