$$(\frac{1}{2}\times\frac{13}{10})+(\frac{1}{2}\times\frac{7}{10})$$
$1$
$$\frac{1\times 13}{2\times 10}+\frac{1}{2}\times \frac{7}{10}$$
$$\frac{13}{20}+\frac{1}{2}\times \frac{7}{10}$$
$$\frac{13}{20}+\frac{1\times 7}{2\times 10}$$
$$\frac{13}{20}+\frac{7}{20}$$
$$\frac{13+7}{20}$$
$$\frac{20}{20}$$
$$1$$
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