269. Вычислите: 1) \(\frac14+\frac35\); 2) \(\frac9{11}-\frac25\); 3) \(\frac{13}{16}-\frac9{32}\); 4) \(\frac3{28}+\frac5{14}\); 5) \(\frac{14}{15}-\frac7{10}\); 6) \(\frac38+\frac16\).

1. \(\frac14+\frac35=\frac5{20}+\frac{12}{20}=\frac{17}{20}\).
2. \(\frac9{11}-\frac25=\frac{45}{55}-\frac{22}{55}=\frac{23}{55}\).
3. \(\frac{13}{16}-\frac9{32}=\frac{26}{32}-\frac9{32}=\frac{17}{32}\).
4. \(\frac3{28}+\frac5{14}=\frac3{28}+\frac{10}{28}=\frac{13}{28}\).
5. \(\frac{14}{15}-\frac7{10}=\frac{28}{30}-\frac{21}{30}=\frac7{30}\).
6. \(\frac38+\frac16=\frac9{24}+\frac4{24}=\frac{13}{24}\).

Ответ: 1) \(\frac{17}{20}\); 2) \(\frac{23}{55}\); 3) \(\frac{17}{32}\); 4) \(\frac{13}{28}\); 5) \(\frac7{30}\); 6) \(\frac{13}{24}\).