$$\frac{2}{4}\times\frac{2x}{x+y}$$
$\frac{x}{x+y}$
$$\frac{1}{2}\times \frac{2x}{x+y}$$
$$\frac{2x}{2\left(x+y\right)}$$
$$\frac{x}{x+y}$$
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$\frac{y}{\left(x+y\right)^{2}}$