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,,Evaluare in matematica,,

 
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alex2008
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Joined: 19 Oct 2008
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PostPosted: Thu Jan 15, 2009 12:47 pm    Post subject: ,,Evaluare in matematica,, Reply with quote

Sa se arate ca daca a,b \in \mathb{N} , 0<a<b atunci exista numerele naturale nenule r , d_1, d_2 , ... , d_r astfel incat \frac{a}{b}=\frac{1}{d_1}+\frac{1}{d_1 \cdot d_2}+...+\frac{1}{d_1 \cdot d_2 \cdot ... \cdot d_r} .
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harrypham
Euclid


Joined: 18 Jul 2011
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PostPosted: Fri Apr 26, 2013 1:53 pm    Post subject: Reply with quote

Could you please translate this problem for me to English ?? Thank you.
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Laurian Filip
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Joined: 25 Nov 2007
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PostPosted: Mon Apr 29, 2013 5:16 am    Post subject: Re: ,,Evaluare in matematica,, Reply with quote

If a,b \in \mathb{N} , 0<a<b then there exist r , d_1, d_2 , ... , d_r \in \mathbb{N}^* such that \frac{a}{b}=\frac{1}{d_1}+\frac{1}{d_1 \cdot d_2}+...+\frac{1}{d_1 \cdot d_2 \cdot ... \cdot d_r} .

Where \mathbb{N} stands for the set of positive integers.
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