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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.

Weekly Problem 24 - 2012

Stage: 3 Challenge Level: Challenge Level:1

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.

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