0
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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It is: 26/99 = 0.'26' recurring '26'
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