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:
[tex]\begin{gathered} \frac{21}{6}\div\frac{2}{3}=\frac{21\cdot3}{6\cdot2} \\ =\frac{21\cdot3}{3\cdot2\cdot2} \\ =\frac{21}{2\cdot2} \\ =\frac{21}{4} \end{gathered}[/tex]Therefore, 21/6 divided by 2/3 is equal to 21/4.