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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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Fractions and Percentages Card Game

Match the cards of the same value.

Too Close to Call

Age 11 to 14 Short Challenge Level:

Arrange these fractions in order, from smallest to largest:

$$\frac{111110}{111111} \qquad \frac{222221}{222223} \qquad \frac{333331}{333334}$$ 

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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.