- \[\frac14+\frac7{15}=\frac{15+28}{60}=\frac{43}{60}.\]
- \[3\frac4{21}-2\frac5{14}=\frac{71}{21}-\frac{33}{14}=\frac{142-99}{42}=\frac{43}{42}.\]
- \[\frac{23}{44}\cdot\frac{16}{67}=\frac{92}{737}.\]
- \[\frac9{16}\cdot2\frac47=\frac9{16}\cdot\frac{18}{7}=\frac{81}{56}.\]
- \[\frac56+2\frac14\cdot\frac2{33}=\frac56+\frac94\cdot\frac2{33}=\frac56+\frac3{22}=\frac{64}{66}=\frac{32}{33}.\]
- \[3\frac25\cdot\frac7{51}-\frac25=\frac{17}{5}\cdot\frac7{51}-\frac25=\frac7{15}-\frac25=\frac1{15}.\]
Ответ: 1) \(\frac{43}{60}\); 2) \(\frac{43}{42}\); 3) \(\frac{92}{737}\); 4) \(\frac{81}{56}\); 5) \(\frac{32}{33}\); 6) \(\frac{1}{15}\).