Question

determine the lcd of each rational expression $\frac{4x - 1}{6x^{2}} \frac{3x}{9x}$
$3x$
$18x$
$3x^{2}$
$18x^{2}$

Explanation:

Step1: Factor denominators

Factor $6x^{2}=2\times3\times x\times x$ and $9x = 3\times3\times x$.

Step2: Find LCD of coefficients and variables

For coefficients 6 and 9, LCD of 6 and 9 is 18. For variables $x^{2}$ and $x$, LCD is $x^{2}$. Then multiply them together.
$18\times x^{2}=18x^{2}$

Answer:

$18x^{2}$