"10/14"/"6/7"

Do you mean this:

(10/14) / (6/7) =   $${\frac{\left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{7}}}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}} = {\mathtt{0.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

$${\frac{\left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{7}}}}\right)}} = \left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{7}}}{{\mathtt{6}}}}\right)$$    =    $${\frac{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{7}}\right)}{\left({\mathtt{14}}{\mathtt{\,\times\,}}{\mathtt{6}}\right)}} = {\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{1}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}}$$