Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}[/tex]
We are to find the quotient as shown:
[tex]= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9} \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\= \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1 \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times \frac{3}{2} \\\\= \frac{3}{2}[/tex]
Hence the correct answer is [tex]\frac{3}{2}[/tex]
