\(A=\dfrac{15}{11.14}+\dfrac{15}{14.17}+...+\dfrac{15}{68.71}\)
\(=5\left(\dfrac{3}{11.14}+\dfrac{3}{14.17}+...+\dfrac{3}{68.71}\right)\)
\(=5\left(\dfrac{1}{11}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{17}+...+\dfrac{1}{68}-\dfrac{1}{71}\right)\)
\(=5\left(\dfrac{1}{11}-\dfrac{1}{71}\right)\)
\(=5.\dfrac{60}{781}=\dfrac{300}{781}\)
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