![\left[\begin{array}{ccc}\frac{7}{8} &\frac{5}{3} \\\\\frac{3}{2} &\frac{1}{2} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B7%7D%7B8%7D+%26amp%3B%5Cfrac%7B5%7D%7B3%7D+%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7D+%26amp%3B%5Cfrac%7B1%7D%7B2%7D+%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}\frac{7}{8} &\frac{5}{3} \\\\\frac{3}{2} &\frac{1}{2} \end{array}\right]")
find the value of determinant
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