BdMO National Junior 2009/7

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
samiul_samin
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Joined:Sat Dec 09, 2017 1:32 pm
BdMO National Junior 2009/7

Unread post by samiul_samin » Sun Feb 24, 2019 9:49 am

Express $\dfrac {7}{26}$ as $\dfrac {1}{a}+\dfrac {1}{b}$
($a,b$ both are positive integers).

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Junior 2009/7

Unread post by samiul_samin » Mon Feb 25, 2019 11:27 am

By substructing $\dfrac 1n$ from $\dfrac {7}{26}$,where $n\in N$
We will get that,
\[\dfrac {7}{26}-\dfrac 14=\dfrac {1}{52}\]
\[\Rightarrow \dfrac{7}{26}=\dfrac 14+\dfrac {1}{52}\]

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