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

Divide by flipping the second fraction:

(n+3)/(2n-6) ÷ (n+3)/(3n-9) = (n+3)/(2(n-3)) * (3(n-3))/(n+3).

Cancel (n+3) and (n-3) (n ≠ 3, -3): = 3/2.

Answer: Three-halves.