Respuesta :

The expression given is:

[tex]\frac{2}{x}+\frac{3-x}{6}[/tex]

The Least Common Denominator (L.C.D) of the expression is the product of the denominator:

[tex]6\times x=6x[/tex]

Since

[tex]\frac{2}{x}+\frac{3-x}{6}=\frac{5}{x+2}[/tex]

Then, we can multiply both the numerator and denominator with the L.C.D of 6x:

[tex]\begin{gathered} \frac{5}{x+2} \\ \\ \frac{5}{x+2}\times\frac{6x}{6x} \\ \\ \frac{30x}{6x(x+2)} \end{gathered}[/tex]

Therefore, the final answer is: Option B