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# How can you prove that 0.46 recurring ie 0.4646464646 is equal to the fraction 46 over 99?

Updated: 9/19/2023

Wiki User

13y ago

Let f = 0.46 recurring ie

f = 0.464646...

Then

100*f = 46.464646...

Subtract the second equation from the first: 99*f = 46

so that f = 46/99

Wiki User

13y ago

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Q: How can you prove that 0.46 recurring ie 0.4646464646 is equal to the fraction 46 over 99?
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