Ответ:

  1. \(\frac56+\frac19=\frac{15}{18}+\frac2{18}=\frac{17}{18}\).
  2. \(\frac7{10}-\frac14=\frac{14}{20}-\frac5{20}=\frac9{20}\).
  3. \(\frac5{12}+\frac7{18}=\frac{15}{36}+\frac{14}{36}=\frac{29}{36}\).
  4. \(\frac{11}{15}-\frac3{10}=\frac{22}{30}-\frac9{30}=\frac{13}{30}\).
  5. \(\frac7{24}+\frac5{16}=\frac{14}{48}+\frac{15}{48}=\frac{29}{48}\).
  6. \(\frac9{20}-\frac2{25}=\frac{45}{100}-\frac8{100}=\frac{37}{100}\).
  7. \(\frac{11}{36}+\frac7{24}=\frac{22}{72}+\frac{21}{72}=\frac{43}{72}\).
  8. \(\frac{23}{45}-\frac7{30}=\frac{46}{90}-\frac{21}{90}=\frac{25}{90}=\frac5{18}\).

Ответ: 1) \(\frac{17}{18}\); 2) \(\frac9{20}\); 3) \(\frac{29}{36}\); 4) \(\frac{13}{30}\); 5) \(\frac{29}{48}\); 6) \(\frac{37}{100}\); 7) \(\frac{43}{72}\); 8) \(\frac5{18}\).