$$\frac { 4 } { 13 } + ( - \frac { 5 } { 8 } ) + ( - \frac { 8 } { 13 } ) + \frac { 89 } { 13 }$$
$\frac{615}{104}\approx 5.913461538$
$$\frac{32}{104}-\frac{65}{104}-\frac{8}{13}+\frac{89}{13}$$
$$\frac{32-65}{104}-\frac{8}{13}+\frac{89}{13}$$
$$-\frac{33}{104}-\frac{8}{13}+\frac{89}{13}$$
$$-\frac{33}{104}-\frac{64}{104}+\frac{89}{13}$$
$$\frac{-33-64}{104}+\frac{89}{13}$$
$$-\frac{97}{104}+\frac{89}{13}$$
$$-\frac{97}{104}+\frac{712}{104}$$
$$\frac{-97+712}{104}$$
$$\frac{615}{104}$$
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$\frac{3 \cdot 5 \cdot 41}{2 ^ {3} \cdot 13} = 5\frac{95}{104} = 5.913461538461538$