Question

Simplify:$\frac{16x^{2}y}{2x{y}^2}$

Short answer

The required answer is$\frac{8x}{y}$

Step-by-step solution

Step 1. Given Information  

The given expression is$\frac{16x^{2}y}{2x{y}^2}$

Step 2. Calculation  

Rewrite the numerator and denominator showing the common factors and then simplify using the equivalent fractions property.

$$\begin{gathered} \frac{16x^{2}y}{2x{y}^2}=\frac{2xy\times 8x}{2xy\times y} \\ =\frac{8x}{y} \end{gathered}$$