2/x^2 + 2/y^2
---------------
4/xy
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$\displaystyle \frac{\frac{2}{x^2} + \frac{2}{y^2}}{\frac{4}{xy}}$
I would go about this by simplifying the numerator on it's own
Cross multiply to give just one denominator
Spoiler:
Remember when multiplying by fractions that $\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{ad}{bc}$. In other words flip the fraction and multiply.
Spoiler: