The Student Room Group

Simple reversing a continued fraction expansion

I have to find a fraction such that [1;1,3,1,2]. I've done this so many times and I can get 25/14 but I should be getting (according to a continued fraction calculator online ), the result to be 25/9. I can point my working out if required but could somebody just check I am right if possible?
Reply 1
Your answer is correct.
25/9 would have to start [2;....,

Which online calculator are you using?
Reply 3
A continued fraction [a0;a1,a2,...][a_0;a_1,a_2,...] is a number lying between a0a_0 and a0+1a_0+1.

Your continued fraction is [1;1,3,1,2] and so must lie between 1 and 2, so no way can 25/9 be correct
Reply 4
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfCALC.html

this is what I've been checking against but maybe I just misinterpreted. I'm not sure.
Original post by Preeka
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfCALC.html

this is what I've been checking against but maybe I just misinterpreted. I'm not sure.


It said 25/14 when I just tried it.

Quick Reply

Latest