[tex]\bf \cfrac{4}{5}\div \cfrac{6}{7}\implies \stackrel{\bigotimes}{\cfrac{5}{4}}\cdot \cfrac{6}{7}\implies \cfrac{30}{28}~\hfill \cfrac{4}{5}\div \cfrac{6}{7}\implies\cfrac{4}{5}\cdot \stackrel{\checkmark}{\cfrac{7}{6}}\implies \cfrac{28}{30}\implies \cfrac{14}{15}[/tex]