[tex] \frac{1}{4} [/tex] ÷ [tex] \frac{2}{3} [/tex] is the equation
When dividing fractions, you "flip-flop" and multiply
So what that means is that you flip the second fraction and multiply
So [tex] \frac{2}{3} [/tex] is now [tex] \frac{3}{2} [/tex]
Now the equation is [tex] \frac{1}{4} [/tex] × [tex] \frac{3}{2} [/tex] which equals [tex] \frac{3}{8} [/tex]
Your answer is [tex] \frac{3}{8} [/tex]