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### BdMO National 2013: Higher Secondary 4

Posted: Fri Jan 10, 2014 1:42 am
If the fraction $\dfrac{a}{b}$ is greater than $\dfrac{31}{17}$ in the least amount while $b<17$, find $\dfrac{a}{b}$.

### Re: BdMO National 2013: Higher Secondary 4

Posted: Wed Jan 29, 2014 7:45 pm
Is it enough to find the successor term of $\frac{14}{17}$ in fairy sequence $f_{17}$?

### Re: BdMO National 2013: Higher Secondary 4

Posted: Wed Jan 29, 2014 9:00 pm
By the definition of Farey sequence, yes. But that too involves manual search for a primitive solution of a linear diophantine equation.

### Re: BdMO National 2013: Higher Secondary 4

Posted: Sun Feb 02, 2014 9:57 pm
I got $\frac{11}{6}$. Is it the answer?

### Re: BdMO National 2013: Higher Secondary 4

Posted: Mon Feb 03, 2014 1:03 pm
$\frac {11}{6}$ is the answer , I had found it by trial and error method .

### Re: BdMO National 2013: Higher Secondary 4

Posted: Fri Feb 07, 2014 12:01 am
I used Continued Fraction. And got $\frac{11}{6}$. Is it one from the right ways?