Question

In the following exercises, simplify.

$\frac{15xy}{3x^3{y}^3}$

Short answer

The result is$\frac{5}{x^2{y}^2}$.

Step-by-step solution

Step 1. Given information.

Consider the given rational expression.

$\frac{15xy}{3x^3{y}^3}$

Step 2. Rewrite the fraction.

Write the numerator and denominator showing the common factors.

$\begin{array}{l}\frac{15xy}{3x^3{y}^3}=\frac{5·3·x·y}{3·x·x·x·y·y·y}\\ =\frac{5}{x·x·y·y}\\ =\frac{5}{x^2{y}^2}\end{array}$