11 lines
524 B
Markdown
11 lines
524 B
Markdown
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Consider the fraction, `n/d`, where n and d are positive integers. If `n<d` and `HCF(n,d)=1`, it is called a reduced proper fraction.
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If we list the set of reduced proper fractions for `d <= 8` in ascending order of size, we get:
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~~~
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1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
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~~~
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It can be seen that there are 3 fractions between `1/3` and `1/2`.
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How many fractions lie between `1/3` and `1/2` in the sorted set of reduced proper fractions for `d <= 12,000`?
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