$$\frac{2}{7}=\frac{1}{7}\times2=0.\overline{142857\ X-}$$
$\text{false}$
$$\frac{2}{7}=\frac{2}{7}\text{ and }\frac{1}{7}\times 2=0$$
$$\text{true}\text{ and }\frac{1}{7}\times 2=0$$
$$\text{true}\text{ and }\frac{2}{7}=0$$
$$\text{true}\text{ and }\text{false}$$
$$\text{false}$$
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