Вопрос:

Выполнить действия: 1) \((6\frac{9}{14}-1\frac{1}{8})-(1-\frac{5}{7})\); 2) \(24-2\frac{7}{36}+\frac{11}{20}\); 3) \((1\frac{5}{7}-1)+(6\frac{9}{14}-\frac{1}{8})\); 4) \((11\frac{1}{2}-\frac{4}{15})-(7-\frac{19}{30})\); 5) \((46\frac{2}{9}-25)-(11\frac{4}{7}-\frac{2}{3})\); 6) \((29-6\frac{5}{8})+(4-\frac{5}{7})\); 7) \(7\frac{5}{18}-3\frac{2}{27}+\frac{11}{54}\); 8) \(9\frac{3}{20}-2\frac{3}{25}+4\); 9) \(9\frac{11}{42}-(2\frac{3}{14}+1\frac{1}{21})\); 10) \(5\frac{11}{12}-2\frac{3}{8}-\frac{7}{48}\).

Ответ:

  1. \((6\frac{9}{14}-1\frac18)-(1-\frac57)=5\frac{31}{56}-\frac27=5\frac{15}{56}\).
  2. \(24-2\frac7{36}+\frac{11}{20}=21\frac{13}{180}\).
  3. \((1\frac57-1)+(6\frac9{14}-\frac18)=\frac57+6\frac{65}{112}=7\frac{145}{784}\).
  4. \((11\frac12-\frac4{15})-(7-\frac{19}{30})=4\frac{29}{30}-6\frac7{30}=4\frac{11}{15}\).
  5. \((46\frac29-25)-(11\frac47-\frac23)=21\frac29-11\frac5{21}=9\frac{32}{63}\).
  6. \((29-6\frac58)+(4-\frac57)=22\frac38+3\frac27=25\frac{37}{56}\).
  7. \(7\frac5{18}-3\frac2{27}+\frac{11}{54}=4+\frac{15-4+11}{54}=4\frac{11}{27}\).
  8. \(9\frac3{20}-2\frac3{25}+4=11+\frac{15-12}{100}=11\frac3{100}\).
  9. \(9\frac{11}{42}-(2\frac3{14}+1\frac1{21})=9\frac{11}{42}-3\frac{11}{42}=6\).
  10. \(5\frac{11}{12}-2\frac38-\frac7{48}=5\frac{44-18-7}{48}=5\frac{19}{48}\).