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1 answer:

8 0

So it's actually 0.36363636... with the 36 repeating, right?

Here's a technique for converting repeating decimals to fractions: 

N = 0.3636363636... 
100N = 36.36363636... 

This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out. 

Solving this for N gives 
N = 36/99, or 4/11 

If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...

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