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First of all to indicate repeating to infinity decimals , we write '0.95595....'

Notec the use of three or more dots after the last decimal digits.

Then

Let P = 0.959595....

100 P = 95.959595....

Subtract

99P = 95 ( Note the repeating decimals subtract to zero).

P = 95/99

NB THis fraction will not cancel down ; no common fasctors.

0.959595.... = 95/99

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lenpollock

Lvl 16
6mo ago

What else can I help you with?