$$\frac{3}{71}<\frac{5}{91}<\frac{7}{99}$$
$\text{true}$
$$\frac{273}{6461}<\frac{355}{6461}\text{ and }\frac{5}{91}<\frac{7}{99}$$
$$\text{true}\text{ and }\frac{5}{91}<\frac{7}{99}$$
$$\text{true}\text{ and }\frac{495}{9009}<\frac{637}{9009}$$
$$\text{true}\text{ and }\text{true}$$
$$\text{true}$$
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