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1)

$$\frac{43}{30}$$
$$ 1 + \frac{13}{30}$$
$$1 + \frac{1}{\frac{30}{13}} $$
$$1 + \frac{1}{2 +\frac{4}{13}} $$
$$1 + \frac{1}{2 +\frac{1}{\frac{13}{4}}} $$
$$1 + \frac{1}{2 +\frac{1}{3+\frac{1}{4}}} $$

$$2(3^2)(4^3) = 1152$$