Rewrite the expression with a common denominator.
\[\frac{xy\times 4+x\times 9}{9{y}^{2}\times 4}\]
Regroup terms.
\[\frac{4xy+x\times 9}{9{y}^{2}\times 4}\]
Regroup terms.
\[\frac{4xy+9x}{9{y}^{2}\times 4}\]
Factor out the common term \(x\).
\[\frac{x(4y+9)}{9{y}^{2}\times 4}\]
Simplify \(9{y}^{2}\times 4\) to \(36{y}^{2}\).
\[\frac{x(4y+9)}{36{y}^{2}}\]
(x*(4*y+9))/(36*y^2)