Вопрос:

Вариант 1. Выполните сложение: a) 3/4 + 2/3 б) 4/9 + 1/6 д) 6/7 + 9/21 б) 3/10 + 2/15 г) 7/15 + 3/40 e) 11/20 + 6/15

Смотреть решения всех заданий с листа

Ответ:

  1. a) $$ rac{3}{4} + rac{2}{3} = rac{3 cdot 3 + 2 cdot 4}{12} = rac{9+8}{12} = rac{17}{12} = 1 rac{5}{12}$$
  2. б) $$ rac{4}{9} + rac{1}{6} = rac{4 cdot 2 + 1 cdot 3}{18} = rac{8+3}{18} = rac{11}{18}$$
  3. д) $$ rac{6}{7} + rac{9}{21} = rac{6 cdot 3 + 9}{21} = rac{18+9}{21} = rac{27}{21} = rac{9}{7} = 1 rac{2}{7}$$
  4. б) $$ rac{3}{10} + rac{2}{15} = rac{3 cdot 3 + 2 cdot 2}{30} = rac{9+4}{30} = rac{13}{30}$$
  5. г) $$ rac{7}{15} + rac{3}{40} = rac{7 cdot 8 + 3 cdot 3}{120} = rac{56+9}{120} = rac{65}{120} = rac{13}{24}$$
  6. e) $$ rac{11}{20} + rac{6}{15} = rac{11}{20} + rac{2}{5} = rac{11 + 2 cdot 4}{20} = rac{11+8}{20} = rac{19}{20}$$
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