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[latex] (\frac{12}{13}* \frac{14}{17})*( \frac{17}{14}* \frac{13}{24})= \frac{1}{2} \\ \\ \frac{12}{13}* \frac{14}{17}= \frac{12*14}{13*17}= \frac{168}{221} \\ \\ \frac{17}{14}* \frac{13}{24}= \frac{17*13}{14*24}= \frac{221}{336} \\ \\ \frac{168}{221}* \frac{221}{336}= \frac{168*221}{221*336}= \frac{37128}{74256}= \frac{1*37128}{2*37128}= \frac{1}{2} [/latex]

12/13*14/17*17/14*13/24=12/24=1/2