Answer: [tex]\frac{2(x+4)}{3}[/tex]
Step-by-step explanation:
Given the following expression:
[tex]\frac{4x+16}{6}[/tex]
You can notice that the Greatest Common Factor (GCF) in the denominator is 2, then you can factor it out.
Now, observe that the Greatest Common Factor in the numerator is 4, so you can factor it out.
Therefore, you get
[tex]=\frac{4(x+4)}{2(3)}[/tex]
And finally, since [tex]\frac{4}{2}=2[/tex], you get the expression simplified. This is:
[tex]=\frac{2(x+4)}{3}[/tex]
