Determine the quotient

Answer:
option 2: [tex]\large \frac{10}{12}[/tex]
Step-by-step explanation:
when dividing fractions, you can actually multiply them together by the reciprocal of the second one. (reciprocal is just flipping the fraction)
so, [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex]
becomes [tex]\frac{2}{3} * \frac{5}{4}[/tex]
to multiply fractions together, just multiply the top and bottom.
2 * 5 = 10
3 * 4 = 12
so the answer would be [tex]\frac{10}{12}[/tex]