\(C=\dfrac{18}{10}\cdot\dfrac{30}{22}\cdot\dfrac{44}{36}\cdot...\cdot\dfrac{8360}{8352}=\dfrac{9\cdot2}{10\cdot1}\cdot\dfrac{10\cdot3}{11\cdot2}\cdot\dfrac{11\cdot4}{9\cdot4}\cdot...\cdot\dfrac{95\cdot88}{96\cdot87}\\ C=\dfrac{\left(9\cdot10\cdot...\cdot95\right)\left(2\cdot3\cdot...\cdot88\right)}{\left(10\cdot11\cdot...\cdot96\right)\left(2\cdot3\cdot...\cdot87\right)}\\ C=\dfrac{9\cdot88}{96}=\dfrac{33}{4}\)
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