4/9We're asked to divide the following fractions:[tex]\sf \cfrac{4}{6}\div\cfrac{2}{3}[/tex]Step 1. Flop the second fraction:[tex]\sf \cfrac{4}{6}\div\cfrac{3}{2}[/tex]Step 2. Replace the division sign with the multiplication sign:[tex]\sf \cfrac{4}{6}\times\cfrac{2}{3}[/tex]Step 3. Multiply:[tex]\sf \cfrac{4\times2}{6\times3}[/tex][tex]\sf \cfrac{8}{18}[/tex]Step 4. Reduce:[tex]\sf \cfrac{4}{9}[/tex]