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Repetitiously
The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?
Age 11 to 14 Challenge Level:
This problem follows on from Going Round in Circles.
Watch the film below.
Imagine the dot starts at the point $(1,0)$, turns through $60$ degrees anticlockwise and then stops.
I was wondering, if the point hadn't stopped, and instead carried on until it had turned through $30$ $000$ degrees, might it have finished the same distance above the horizontal axis?
I took out my calculator and typed $30$ $000$ $\div$ $360$
The answer on the screen was $83.333333$.
How can I use this to help me solve my problem?
There are ideas for follow-up problems in the Notes .
Watch the film below.
Imagine the dot starts at the point $(1,0)$, turns through $60$ degrees anticlockwise and then stops.
I was wondering, if the point hadn't stopped, and instead carried on until it had turned through $30$ $000$ degrees, might it have finished the same distance above the horizontal axis?
I took out my calculator and typed $30$ $000$ $\div$ $360$
The answer on the screen was $83.333333$.
How can I use this to help me solve my problem?
There are ideas for follow-up problems in the Notes .
Here is an alternative Flash video.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.