$$(\frac{7}{2})^{2}-(-\frac{5}{4})^{0}+(\frac{7}{3})^{2}:3$$
$\frac{1411}{108}\approx 13.064814815$
$$\frac{49}{4}-\left(-\frac{5}{4}\right)^{0}+\frac{\left(\frac{7}{3}\right)^{2}}{3}$$
$$\frac{49}{4}-1+\frac{\left(\frac{7}{3}\right)^{2}}{3}$$
$$\frac{45}{4}+\frac{\left(\frac{7}{3}\right)^{2}}{3}$$
$$\frac{45}{4}+\frac{\frac{49}{9}}{3}$$
$$\frac{45}{4}+\frac{49}{9\times 3}$$
$$\frac{45}{4}+\frac{49}{27}$$
$$\frac{1411}{108}$$
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$\frac{17 \cdot 83}{2 ^ {2} \cdot 3 ^ {3}} = 13\frac{7}{108} = 13.064814814814815$