\(A=\frac{34}{7.13}+\frac{51}{13.22}+\frac{85}{22.37}+\frac{68}{37.49}\)
\(A=\frac{17}{3}\left(\frac{6}{7.13}+\frac{9}{13.22}+\frac{5}{31.43}+\frac{12}{43.49}\right)\)
\(A=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{13}-\frac{1}{22}+\frac{1}{22}-\frac{1}{37}+\frac{1}{37}-\frac{1}{49}\right)\)
\(A=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{49}\right)\)
\(A=\frac{17}{3}.\frac{6}{49}\)
\(A=\frac{34}{49}\)
\(B=\frac{39}{7.16}+\frac{65}{16.31}+\frac{52}{31.43}+\frac{26}{43.49}\)
\(B=\frac{13}{3}\left(\frac{9}{7.16}+\frac{15}{16.31}+\frac{12}{31.43}+\frac{6}{43.49}\right)\)
\(B=\frac{13}{3}\left(\frac{1}{7}-\frac{1}{16}+\frac{1}{16}-\frac{1}{31}+\frac{1}{31}-\frac{1}{43}+\frac{1}{43}-\frac{1}{49}\right)\)
\(B=\frac{13}{3}\left(\frac{1}{7}-\frac{1}{49}\right)\)
\(B=\frac{13}{3}.\frac{6}{49}\)
\(B=\frac{26}{49}\)
\(\Rightarrow\frac{A}{B}=\frac{\frac{34}{49}}{\frac{26}{49}}\)
\(\Rightarrow\frac{A}{B}=\frac{34}{49}:\frac{26}{49}=\frac{17}{13}\)
