Answer :
I put in a wrong denominator...try 4/3 in fraction form, or 1 and 1/3 as a mixed numeral.
[tex]\bf \cfrac{6}{7}\div \cfrac{9}{14}\implies \cfrac{6}{7}\cdot \cfrac{14}{9}\implies \cfrac{\underline{3}\cdot 2}{\underline{7}}\cdot \cfrac{2\cdot \underline{7}}{3\cdot \underline{3}}\implies \cfrac{2\cdot 2}{3}\implies \cfrac{4}{3}\implies 1\frac{1}{3}[/tex]