Контрольные задания
Вопрос:

Complete the calculations in columns Г, Д, and E.

Фото задания: Complete the calculations in columns Г, Д, and E.Фото задания

Ответ:

Решение:

Столбец Г

  1. \( \frac{3}{7} - \frac{13}{35} = \frac{15}{35} - \frac{13}{35} = \frac{2}{35} \)
  2. \( \frac{8}{15} + \frac{2}{25} = \frac{40}{75} + \frac{6}{75} = \frac{46}{75} \)
  3. \( \frac{1}{7} - \frac{1}{8} = \frac{8}{56} - \frac{7}{56} = \frac{1}{56} \)
  4. \( \frac{3}{8} + \frac{7}{72} = \frac{27}{72} + \frac{7}{72} = \frac{34}{72} = \frac{17}{36} \)
  5. \( \frac{13}{20} - \frac{3}{8} = \frac{26}{40} - \frac{15}{40} = \frac{11}{40} \)
  6. \( \frac{1}{6} + \frac{7}{10} = \frac{5}{30} + \frac{21}{30} = \frac{26}{30} = \frac{13}{15} \)
  7. \( \frac{1}{6} - \frac{1}{12} = \frac{2}{12} - \frac{1}{12} = \frac{1}{12} \)
  8. \( \frac{2}{25} + \frac{1}{9} = \frac{18}{225} + \frac{25}{225} = \frac{43}{225} \)
  9. \( \frac{3}{4} - \frac{31}{42} = \frac{63}{84} - \frac{62}{84} = \frac{1}{84} \)
  10. \( \frac{7}{12} + \frac{3}{20} = \frac{35}{60} + \frac{9}{60} = \frac{44}{60} = \frac{11}{15} \)
  11. \( \frac{19}{21} - \frac{5}{6} = \frac{38}{42} - \frac{35}{42} = \frac{3}{42} = \frac{1}{14} \)
  12. \( \frac{34}{45} - \frac{7}{10} = \frac{68}{90} - \frac{63}{90} = \frac{5}{90} = \frac{1}{18} \)
  13. \( \frac{4}{21} + \frac{9}{14} = \frac{8}{42} + \frac{27}{42} = \frac{35}{42} = \frac{5}{6} \)
  14. \( \frac{4}{9} + \frac{17}{63} = \frac{28}{63} + \frac{17}{63} = \frac{45}{63} = \frac{5}{7} \)
  15. \( \frac{11}{24} - \frac{7}{16} = \frac{22}{48} - \frac{21}{48} = \frac{1}{48} \)

Столбец Д

  1. \( 0,5 + \frac{1}{3} = \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \)
  2. \( \frac{3}{25} - 0,12 = \frac{3}{25} - \frac{12}{100} = \frac{12}{100} - \frac{12}{100} = 0 \)
  3. \( \frac{1}{7} - 0,1 = \frac{1}{7} - \frac{1}{10} = \frac{10}{70} - \frac{7}{70} = \frac{3}{70} \)
  4. \( 0,6 - \frac{7}{20} = \frac{6}{10} - \frac{7}{20} = \frac{12}{20} - \frac{7}{20} = \frac{5}{20} = \frac{1}{4} \)
  5. \( \frac{1}{10} - \frac{1}{11} = \frac{11}{110} - \frac{10}{110} = \frac{1}{110} \)
  6. \( \frac{1}{2} + 0,05 = \frac{1}{2} + \frac{5}{100} = \frac{50}{100} + \frac{5}{100} = \frac{55}{100} = \frac{11}{20} \)
  7. \( \frac{8}{25} - 0,2 = \frac{8}{25} - \frac{2}{10} = \frac{16}{50} - \frac{10}{50} = \frac{6}{50} = \frac{3}{25} \)
  8. \( 0,7 + \frac{1}{5} = \frac{7}{10} + \frac{1}{5} = \frac{7}{10} + \frac{2}{10} = \frac{9}{10} \)
  9. \( \frac{3}{4} - 0,15 = \frac{3}{4} - \frac{15}{100} = \frac{75}{100} - \frac{15}{100} = \frac{60}{100} = \frac{3}{5} \)
  10. \( 19 \div 50 + 0,02 = \frac{19}{50} + \frac{2}{100} = \frac{38}{100} + \frac{2}{100} = \frac{40}{100} = \frac{2}{5} \)
  11. \( \frac{4}{5} + 0,3 = \frac{4}{5} + \frac{3}{10} = \frac{8}{10} + \frac{3}{10} = \frac{11}{10} \)
  12. \( 0,45 - \frac{1}{4} = \frac{45}{100} - \frac{1}{4} = \frac{45}{100} - \frac{25}{100} = \frac{20}{100} = \frac{1}{5} \)
  13. \( \frac{1}{20} + 0,25 = \frac{1}{20} + \frac{25}{100} = \frac{5}{100} + \frac{25}{100} = \frac{30}{100} = \frac{3}{10} \)
  14. \( \frac{1}{8} - \frac{1}{9} = \frac{9}{72} - \frac{8}{72} = \frac{1}{72} \)
  15. \( 13 \div 20 + 0,4 = \frac{13}{20} + \frac{4}{10} = \frac{13}{20} + \frac{8}{20} = \frac{21}{20} \)

Столбец E

  1. \( \frac{1}{9} - \frac{1}{10} = \frac{10}{90} - \frac{9}{90} = \frac{1}{90} \)
  2. \( \frac{3}{20} + 0,15 = \frac{3}{20} + \frac{15}{100} = \frac{15}{100} + \frac{15}{100} = \frac{30}{100} = \frac{3}{10} \)
  3. \( 0,9 - \frac{3}{5} = \frac{9}{10} - \frac{3}{5} = \frac{9}{10} - \frac{6}{10} = \frac{3}{10} \)
  4. \( \frac{7}{50} + 0,6 = \frac{7}{50} + \frac{6}{10} = \frac{7}{50} + \frac{30}{50} = \frac{37}{50} \)
  5. \( 0,5 - \frac{11}{25} = \frac{1}{2} - \frac{11}{25} = \frac{25}{50} - \frac{22}{50} = \frac{3}{50} \)
  6. \( \frac{1}{2} - 0,4 = \frac{1}{2} - \frac{4}{10} = \frac{5}{10} - \frac{4}{10} = \frac{1}{10} \)
  7. \( 0,2 + \frac{2}{25} = \frac{2}{10} + \frac{2}{25} = \frac{1}{5} + \frac{2}{25} = \frac{5}{25} + \frac{2}{25} = \frac{7}{25} \)
  8. \( 0,3 + \frac{2}{5} = \frac{3}{10} + \frac{2}{5} = \frac{3}{10} + \frac{4}{10} = \frac{7}{10} \)
  9. \( \frac{9}{20} - 0,45 = \frac{9}{20} - \frac{45}{100} = \frac{45}{100} - \frac{45}{100} = 0 \)
  10. \( \frac{1}{6} - 0,1 = \frac{1}{6} - \frac{1}{10} = \frac{5}{30} - \frac{3}{30} = \frac{2}{30} = \frac{1}{15} \)
  11. \( 0,05 + \frac{11}{20} = \frac{5}{100} + \frac{11}{20} = \frac{5}{100} + \frac{55}{100} = \frac{60}{100} = \frac{3}{5} \)

Ответ: результаты вычислений приведены в списках выше.