[latex]2frac{1}{3}+4frac{2}{3}cdot2frac{14}{12} [/latex] ---------------------------------------------------------------------= [latex]5frac{2}{7}(2frac{2}{3}-1frac{3}{4})[/latex]

[latex]frac{2frac{1}{3}+4frac{2}{3}cdot2frac{14}{12}}{5frac{2}{7}cdot (2frac{2}{3}-1frac{3}{4})}=[/latex] [latex]frac{2frac{1}{3}+frac{14}{3}cdotfrac{38}{12}}{frac{37}{7}cdot (2frac{8}{12}-1frac{9}{12})}=[/latex] [latex]frac{2frac{1}{3}+frac{7}{3}cdotfrac{38}{6}}{frac{37}{7}cdot (2frac{8}{12}-1frac{9}{12})}=[/latex] [latex]frac{2frac{1}{3}+frac{266}{18}}{frac{37}{7}cdot (1frac{20}{12}-1frac{9}{12})}=[/latex] [latex]frac{2frac{1}{3}+frac{133}{9}}{frac{37}{7}cdot frac{11}{12}}=[/latex] [latex]frac{2frac{3}{9}+frac{133}{9}}{frac{407}{84}}=[/latex] [latex]frac{2frac{136}{9}}{frac{407}{84}}= frac{154}{9}cdot frac{84}{407}= frac{14}{3}cdot frac{28}{37}= frac{392}{111}=3 frac{59}{111}[/latex]