[tex]\text{Solve for k:}\\\\\frac{5}{6}k=\frac{4}{7}\\\\\text{You can multiply both sides by 6/5, cancelling the 5/6 on the left}\\\\\frac{6}{5}*\frac{5}{6}k=\frac{4}{7}*\frac{6}{5}\\\\k=\frac{4}{7}*\frac{6}{5}\\\\\text{Multiply across}\\\\\boxed{k=\frac{24}{35}}[/tex]
