Answer
It is verified that the two expressions are equivalent.
$\frac{25x^2}{36}+\frac{4y^2}{9}=\frac{x^2}{\frac{36}{25}}+\frac{y^2}{\frac{9}{4}}$
Work Step by Step
$\frac{25x^2}{36}+\frac{4y^2}{9}=\frac{25x^2}{36}\frac{\frac{1}{25}}{\frac{1}{25}}+\frac{4y^2}{9}\frac{\frac{1}{4}}{\frac{1}{4}}=\frac{x^2}{\frac{36}{25}}+\frac{y^2}{\frac{9}{4}}$