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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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Sept 03

What is the last digit of the number 1 / 5^903 ?

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Fraction and Percentage Card Game

Match the cards of the same value.

Too Close to Call

Stage: 3 Short Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
See all short problems arranged by curriculum topic in the short problems collection

Given that $$\eqalign{ x &= \frac{111110}{111111}, \\ y &= \frac{222221}{222223}, \\ z &= \frac{333331}{333334},}$$ which is the largest number and which is the smallest?
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.