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The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

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Recurring Mean

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

What is the mean of $1.\dot{2}$ and $2.\dot{1}$


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.




This problem is taken from the UKMT Mathematical Challenges.

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