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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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Too Close to Call

Weekly Problem 24 - 2012
Can you put these very close fractions into order?

Round and Round and Round

Stage: 3 Challenge Level: Challenge Level:1

What does $0.333333$... mean?
What fraction is equivalent to $0.1111111$...?

If the dot turns through $10$ degrees anticlockwise it will be the same distance above the horizontal axis as if it had turned through $170$ degrees anticlockwise. Can you see why?