Q22. - Algebra 2

Question

Simplify the expression $\frac{3xyz}{4xz}\cdot \frac{6x^2}{3y^2}$

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{3x^2}{2y}$.

Step 1. Write down the given expression.

The given expression is $\frac{3xyz}{4xz}·\frac{6x^2}{3y^2}$.

Step 2. Simplify the expression.

The given expression $\frac{3xyz}{4xz}·\frac{6x^2}{3y^2}$ is simplified as:

$\begin{array}{l}\frac{3xyz}{4xz}\cdot \frac{6x^2}{3y^2}=\left(\frac{3xyz}{4xz}\right)\cdot \left(\frac{6x^2}{3y^2}\right)\\ =\left(\frac{3}{2}\right)\cdot \left(\frac{x^{2}y}{y^2}\right)\\ =\frac{3x^2}{2y}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{3x^2}{2y}$.