\(A=\dfrac{9}{1.4}+\dfrac{9}{4.7}+...+\dfrac{9}{13.16}\)
\(A=3.\left(\dfrac{3}{1.4}+\dfrac{3}{4.7}+...+\dfrac{3}{13.16}\right)\)
\(A=3.\left(\dfrac{1}{1}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{13}-\dfrac{1}{16}\right)\)
\(A=3.\left(\dfrac{1}{1}-\dfrac{1}{16}\right)\)
\(A=3.\dfrac{15}{16}\)
\(A=\dfrac{45}{16}\)