$$\frac{5}{6}+\frac{3}{5}=\frac{5+3}{6+5}=\frac{8}{11}$$
$\text{false}$
$$\frac{25}{30}+\frac{18}{30}=\frac{5+3}{6+5}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\frac{25+18}{30}=\frac{5+3}{6+5}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\frac{43}{30}=\frac{5+3}{6+5}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\frac{43}{30}=\frac{8}{6+5}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\frac{43}{30}=\frac{8}{11}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\frac{473}{330}=\frac{240}{330}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\text{false}\text{ and }\frac{5+3}{6+5}=\frac{8}{11}$$
$$\text{false}\text{ and }\frac{8}{6+5}=\frac{8}{11}$$
$$\text{false}\text{ and }\frac{8}{11}=\frac{8}{11}$$
$$\text{false}\text{ and }\text{true}$$
$$\text{false}$$
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