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Question

The correct expression of 6.4646464646.... in the fractional form is:

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

\({640}\over 99\)

The correct answer is Option 3 i.e. \({640}\over 99\).

Let x = 6.4646464646.....

⇒ 100x = 646.464646....

⇒ 100x - x = 646.464646.... - 6.4646464646.....

⇒ 99x = 640

⇒ x = \({640}\over 99\)

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