46. Найдите значение выражений и запишите ответ: 1) 2 5/21 + 6/7; 2) 7 2/3 + 1 4/9; 3) 1 5/9 − 8/9; 4) 1 2/7 + 6/7; 5) 1 3/5 − 14/15; 6) 1 1/12 − 5/24; 7) 8 3/7 + 2 2/3; 8) 4 1/18 − 1 5/9; 9) 3 1/2 − 2/3; 10) 5 2/7 − 1 3/5; 11) 10 2/3 − 5/6; 12) 6 1/4 + 3 2/5; 13) 3 1/6 − 1 1/3; 14) 6 3/8 − 3 5/6; 15) 4 5/8 + 3 15/16.

1. \(2\frac{5}{21}+\frac67=2\frac{5}{21}+\frac{18}{21}=2\frac{23}{21}=3\frac{2}{21}\).
2. \(7\frac23+1\frac49=8+\frac69+\frac49=8\frac{10}{9}=9\frac19\).
3. \(1\frac59-\frac89=1-\frac39=\frac23\).
4. \(1\frac27+\frac67=1\frac87=2\frac17\).
5. \(1\frac35-\frac{14}{15}=1\frac9{15}-\frac{14}{15}=\frac{14}{15}\).
6. \(1\frac1{12}-\frac5{24}=1\frac2{24}-\frac5{24}=\frac{21}{24}=\frac78\).
7. \(8\frac37+2\frac23=10+\frac9{21}+\frac{14}{21}=11\frac2{21}\).
8. \(4\frac1{18}-1\frac59=3+\frac1{18}-\frac{10}{18}=2\frac12\).
9. \(3\frac12-\frac23=3-\frac16=2\frac56\).
10. \(5\frac27-1\frac35=4+\frac{10}{35}-\frac{21}{35}=3\frac{24}{35}\).
11. \(10\frac23-\frac56=10-\frac16=9\frac56\).
12. \(6\frac14+3\frac25=9+\frac5{20}+\frac8{20}=9\frac{13}{20}\).
13. \(3\frac16-1\frac13=2+\frac16-\frac26=1\frac56\).
14. \(6\frac38-3\frac56=3+\frac9{24}-\frac{20}{24}=2\frac{13}{24}\).
15. \(4\frac58+3\frac{15}{16}=7+\frac{10}{16}+\frac{15}{16}=8\frac9{16}\).

Ответ: 1) \(3\frac{2}{21}\); 2) \(9\frac19\); 3) \(\frac23\); 4) \(2\frac17\); 5) \(\frac{14}{15}\); 6) \(\frac78\); 7) \(11\frac{2}{21}\); 8) \(2\frac12\); 9) \(2\frac56\); 10) \(3\frac{24}{35}\); 11) \(9\frac56\); 12) \(9\frac{13}{20}\); 13) \(1\frac56\); 14) \(2\frac{13}{24}\); 15) \(8\frac9{16}\).