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To indicate a decimal recurring to infinity , we write 0.262626... (Note three sets of terms and three or more dots/full stops)

To convert to a fraction

Let P = 0.262626....

Then 100 P = 26.262626....

Subtract.

99P = 26 ( Note the recurring decimals subtract to zero. )

Hence

99P = 26

P = 26/99

This fraction will NOT reduce any further.

Hence 0.262626.... = 26/99

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lenpollock

Lvl 16
8mo ago

What else can I help you with?