$$\frac{ 4 }{ 7 } - \frac{ -8 }{ 9 } - \frac{ -13 }{ 7 } + \frac{ 17 }{ 9 }$$
$\frac{328}{63}\approx 5.206349206$
$$\frac{4}{7}-\left(-\frac{8}{9}\right)-\frac{-13}{7}+\frac{17}{9}$$
$$\frac{4}{7}+\frac{8}{9}-\frac{-13}{7}+\frac{17}{9}$$
$$\frac{36}{63}+\frac{56}{63}-\frac{-13}{7}+\frac{17}{9}$$
$$\frac{36+56}{63}-\frac{-13}{7}+\frac{17}{9}$$
$$\frac{92}{63}-\frac{-13}{7}+\frac{17}{9}$$
$$\frac{92}{63}-\left(-\frac{13}{7}\right)+\frac{17}{9}$$
$$\frac{92}{63}+\frac{13}{7}+\frac{17}{9}$$
$$\frac{92}{63}+\frac{117}{63}+\frac{17}{9}$$
$$\frac{92+117}{63}+\frac{17}{9}$$
$$\frac{209}{63}+\frac{17}{9}$$
$$\frac{209}{63}+\frac{119}{63}$$
$$\frac{209+119}{63}$$
$$\frac{328}{63}$$
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$\frac{2 ^ {3} \cdot 41}{3 ^ {2} \cdot 7} = 5\frac{13}{63} = 5.2063492063492065$
