###### tags: `OTM 04` `Fraction and Egyptian Fraction`
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$\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{1}{8}$
where a, b, c are positive integers;
what are a,b,c?
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$\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{d} = \frac{5}{8}$
where a, b, c, d are positive integers;
what are a,b,c,and d?
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Hint: 1. turn $\frac{5}{8}$ into decimal you might see some hope...
2. You might also need some greedy-algorithm from the Egyptian Fraction.
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