Crazy Fraction

Number Theory Level pending

Evaluate the fraction fro the image.

e More than three. 2,5 2.4142135623730481004530135929...

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1 solution

Kapil Mittal
Apr 28, 2014

How can on earth explain this problem?? easy to solve but hard to explain. I am venturing to explain it. please don't be mind if you couldn't get ?? start doing it from bottom . 7/3 , 17/7 , 41/ 17............ when to move top reciprocal it 3/7 , 7/17 , 17/ 41 .......... something is common denominator of first = num of second and vice cersa

all value comes out to be .41 at the toppest level 2+.41 = 2.41
i hope all of you get it.....:)

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