Answer: 2 and 1/4
Step-by-step explanation: To solve this problem, first remember that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
[tex]\frac{6}{8}[/tex] ÷ [tex]\frac{2}{6}[/tex] → [tex]\frac{6}{8}[/tex] x [tex]\frac{6}{2}[/tex] = 36/16 = 9/4
The fraction 9/4 can be written as the mixed number 2 and 1/4.