Remember that to divide fractions we can use the following method:
First, multiply a times d and write the result in the numerator:
Next, multiply b times c and write the result in the denominator:
Then, by using this method:
![\begin{gathered} (21)/(6)/(2)/(3)=(21\cdot3)/(6\cdot2) \\ =(21\cdot3)/(3\cdot2\cdot2) \\ =(21)/(2\cdot2) \\ =(21)/(4) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9ql26myycjm0cc0otifpak8ehpw64dxlhj.png)
Therefore, 21/6 divided by 2/3 is equal to 21/4.