Question

simplify.
\frac{25x^{2}y^{2}}{30x^{3}y^{2}}

Explanation:

Step1: Simplify the coefficients

$\frac{25}{30} = \frac{5}{6}$

Step2: Simplify $x$-terms

$\frac{x^2}{x^3} = x^{2-3} = x^{-1} = \frac{1}{x}$

Step3: Simplify $y$-terms

$\frac{y^2}{y^2} = y^{2-2} = y^0 = 1$

Step4: Combine all simplified parts

$\frac{5}{6} \times \frac{1}{x} \times 1 = \frac{5}{6x}$

Answer:

$\frac{5}{6x}$