Вопрос:

Преобразуйте смешанные числа в неправильные дроби: 4 5/8; 1 19/25; 3 4/9; 5 1/3; 6 2/5; 2 6/13; 7 1/5; 5 5/11; 6 2/7; 3 1/9; 29 1/2; 7 5/8; 9 3/4; 11 3/5; 13 1/2; 7 4/5; 3 5/6; 13 4/9; 5 1/8; 4 5/7.

Ответ:

Используем правило: \(a\frac{b}{c}=\frac{ac+b}{c}\).

  1. \(4\frac{5}{8}=\frac{4\cdot8+5}{8}=\frac{37}{8}\)
  2. \(1\frac{19}{25}=\frac{1\cdot25+19}{25}=\frac{44}{25}\)
  3. \(3\frac{4}{9}=\frac{3\cdot9+4}{9}=\frac{31}{9}\)
  4. \(5\frac{1}{3}=\frac{5\cdot3+1}{3}=\frac{16}{3}\)
  5. \(6\frac{2}{5}=\frac{6\cdot5+2}{5}=\frac{32}{5}\)
  6. \(2\frac{6}{13}=\frac{2\cdot13+6}{13}=\frac{32}{13}\)
  7. \(7\frac{1}{5}=\frac{7\cdot5+1}{5}=\frac{36}{5}\)
  8. \(5\frac{5}{11}=\frac{5\cdot11+5}{11}=\frac{60}{11}\)
  9. \(6\frac{2}{7}=\frac{6\cdot7+2}{7}=\frac{44}{7}\)
  10. \(3\frac{1}{9}=\frac{3\cdot9+1}{9}=\frac{28}{9}\)
  11. \(29\frac{1}{2}=\frac{29\cdot2+1}{2}=\frac{59}{2}\)
  12. \(7\frac{5}{8}=\frac{7\cdot8+5}{8}=\frac{61}{8}\)
  13. \(9\frac{3}{4}=\frac{9\cdot4+3}{4}=\frac{39}{4}\)
  14. \(11\frac{3}{5}=\frac{11\cdot5+3}{5}=\frac{58}{5}\)
  15. \(13\frac{1}{2}=\frac{13\cdot2+1}{2}=\frac{27}{2}\)
  16. \(7\frac{4}{5}=\frac{7\cdot5+4}{5}=\frac{39}{5}\)
  17. \(3\frac{5}{6}=\frac{3\cdot6+5}{6}=\frac{23}{6}\)
  18. \(13\frac{4}{9}=\frac{13\cdot9+4}{9}=\frac{121}{9}\)
  19. \(5\frac{1}{8}=\frac{5\cdot8+1}{8}=\frac{41}{8}\)
  20. \(4\frac{5}{7}=\frac{4\cdot7+5}{7}=\frac{33}{7}\)

Ответ: \(\frac{37}{8};\frac{44}{25};\frac{31}{9};\frac{16}{3};\frac{32}{5};\frac{32}{13};\frac{36}{5};\frac{60}{11};\frac{44}{7};\frac{28}{9};\frac{59}{2};\frac{61}{8};\frac{39}{4};\frac{58}{5};\frac{27}{2};\frac{39}{5};\frac{23}{6};\frac{121}{9};\frac{41}{8};\frac{33}{7}\)

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