$$\frac{2}{3}\times\frac{5}{7}=\frac{2\times5}{3\times7}=\frac{10}{21}$$
$\text{true}$
$$\frac{2\times 5}{3\times 7}=\frac{2\times 5}{3\times 7}\text{ and }\frac{2\times 5}{3\times 7}=\frac{10}{21}$$
$$\frac{10}{21}=\frac{2\times 5}{3\times 7}\text{ and }\frac{2\times 5}{3\times 7}=\frac{10}{21}$$
$$\frac{10}{21}=\frac{10}{3\times 7}\text{ and }\frac{2\times 5}{3\times 7}=\frac{10}{21}$$
$$\frac{10}{21}=\frac{10}{21}\text{ and }\frac{2\times 5}{3\times 7}=\frac{10}{21}$$
$$\text{true}\text{ and }\frac{2\times 5}{3\times 7}=\frac{10}{21}$$
$$\text{true}\text{ and }\frac{10}{3\times 7}=\frac{10}{21}$$
$$\text{true}\text{ and }\frac{10}{21}=\frac{10}{21}$$
$$\text{true}\text{ and }\text{true}$$
$$\text{true}$$
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