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Let f represent the fraction

then f = 0.366....

and so 10f = 3.66....

Subtracting the first from the second,

9f = 3.3

so that f = 3.3/9 = 33/90 = 11/30

The same process can be used in case you meant 0.363636

f = 0.3636

100f = 36.3636

99f = 36

f = 36/99 or 4/11

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Q: What is 0.36 repeating as the ratio of two integers?
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