Question

which is the equivalent to the following expression: $\frac{15x^{2}y}{9xy}$
$\bigcirc \frac{5y}{3x}$
$\bigcirc \frac{5x}{3y}$
$\bigcirc \frac{5x^{2}}{3y}$
$\bigcirc \frac{15x^{2}}{9y}$

Explanation:

Step1: Simplify coefficients

$\frac{15}{9} = \frac{5}{3}$

Step2: Simplify $x$ terms

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

Step3: Simplify $y$ terms

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

Step4: Combine all parts

$\frac{5}{3} \times x \times 1 = \frac{5x}{3}$

Answer:

$\boldsymbol{\frac{5x}{3}}$ (corresponding to the third option)