Rasyonel Sayılar

Question

a,b,c pozitif tam sayilar a+1/(b+1/c)=17/13 ise a+b+c=?

Answer 1

$\dfrac{17}{13}=1+\dfrac{4}{13}=1+\dfrac{1}{\dfrac{13}{4}}=1+\dfrac{1}{3+\dfrac{1}{4}} \\ a=1 \\ b=3 \\ c=4 \\ a+b+c=8$