\(12\frac{14}{25}\cdot6\frac{10}{12}=12\frac{14}{25}\cdot6\frac{5}{6}=\frac{314}{25}\cdot\frac{41}{6}=\frac{314\cdot41}{25\cdot6}=\frac{157\cdot2\cdot41}{25\cdot3\cdot2}=\frac{6437}{75}\)
\(5\frac{6}{9}\div7\frac{6}{3}=ERROR\)
\(12\frac{14}{25}x25\frac{10}{12}=\frac{314}{25}x\frac{310}{12}=\frac{97340}{300}=\frac{4867}{15}\)
\(5\frac{6}{9}:7\frac{6}{3}=\frac{51}{9}:\frac{27}{3}=\frac{51}{9}x\frac{3}{27}=\frac{153}{243}=\frac{17}{27}\)