We need convert the mixed numbers to improper fractions.
[tex]3\dfrac{6}{7}=\dfrac{3\cdot7+6}{7}=\dfrac{21+6}{7}=\dfrac{27}{7}\\\\4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{12+2}{3}=\dfrac{14}{3}[/tex]
Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:
[tex]3\dfrac{6}{7}\div4\dfrac{2}{3}=\dfrac{27}{7}\div\dfrac{14}{3}=\dfrac{27}{7}\cdot\dfrac{3}{14}=\dfrac{81}{98}[/tex]
Answer:
[tex]\boxed{3\dfrac{6}{7}\div4\dfrac{2}{3}=\dfrac{81}{98}}[/tex]
