Question

Answer 1

A= \(\dfrac{3\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{11}+\dfrac{1}{13}\right)}{5\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{11}+\dfrac{1}{13}\right)}\)= \(\dfrac{3}{5}\)

B = 1+ \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{\dfrac{3}{2}}}}\)= 1 + \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{2}{3}}}\)= 1+ \(\dfrac{1}{1+\dfrac{1}{\dfrac{5}{3}}}\)= 1+ \(\dfrac{1}{1+\dfrac{3}{5}}\)= 1+ \(\dfrac{1}{\dfrac{8}{5}}\)=

1+ \(\dfrac{5}{8}\) = \(\dfrac{13}{8}\)

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