Question

What is the quotient? StartFraction n + 3 Over 2 n minus 6 EndFraction divided by StartFraction n + 3 Over 3 n minus 9 EndFraction Two-thirds Three-halves StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction

Answer 1

3/2

Explanation:

3/2

Answer 2

`(3)/(2)`

Explanation:

Given the expression:

`(n+3)/(2n-6) / (n+3)/(3n-9)`

We are to find the quotient as shown:

`= (n+3)/(2n-6) / (n+3)/(3n-9) \\\\= (n+3)/(2n-6) * (3n-9)/(n+3) \\\\= (n+3)/(n+3) * (3n-9)/(2n-6)\\\\= 1 * (3(n-3))/(2(n-3))\\\\= 1 * (3)/(2) \\\\= (3)/(2)`

Hence the correct answer is
`(3)/(2)`