How do you find the repeating decimal 0.427 with 427 repeated as a fraction?

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Answer 1 · 2017-02-24T17:18:33

Let #x=0.427427427427........# ...............(A)

therefore #1000x=427.427427427427........# ...............(B)

Now subtracting (A) from (B), we get

#999x=427# and #x=427/999#

As only prime factors of #999# are #3# and #37#, which do not divide #427#, we cannot reduce this and