$$c=(\frac{8}{5}-\frac{7}{3})\times\binom{44}{45}$$
$c=-\frac{484}{675}\approx -0.717037037$
$$c=\left(\frac{24}{15}-\frac{35}{15}\right)\times \frac{44}{45}$$
$$c=\frac{24-35}{15}\times \frac{44}{45}$$
$$c=-\frac{11}{15}\times \frac{44}{45}$$
$$c=\frac{-11\times 44}{15\times 45}$$
$$c=\frac{-484}{675}$$
$$c=-\frac{484}{675}$$
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$c≔-\frac{484}{675}$
