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3.666.... = 3 2/3 or 11/3

How do we convert recurring decimal to a fraction. ???

Let P = 3.6666...

& 10P = 36.666....

Subtract

10P -P = 9P &

36.6666.... - 3.6666... = 33.0 = 33 (NB The recurring decimals to infinity subtract to zero.

Hence

9P = 33 P = 33/9

Cancel down by '3'

11/3 = 2 2/3 Done!"!!!!!

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lenpollock

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1y ago

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3.666 = 3666/1000 = 1833/500

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Wiki User

14y ago
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