Вопрос:

58. Выполните сложение или вычитание: 7/48 + 11/36; 26/45 − 16/30; 13/18 − 5/24; 1 + 3/8; 2 − 5/6; 5/13 + 7/26; 11/63 − 1/9; 12/15 − 3/5; 5 + 4/9; 4 − 7/11; 7/12 + 4/36; 15/27 − 1/9; 11/14 − 1/7; 4 + 2/7; 5 − 4/9.

Ответ:

  1. \(\frac{7}{48}+\frac{11}{36}=\frac{21}{144}+\frac{44}{144}=\frac{65}{144}\).
  2. \(\frac{26}{45}-\frac{16}{30}=\frac{52}{90}-\frac{48}{90}=\frac{4}{90}=\frac{2}{45}\).
  3. \(\frac{13}{18}-\frac{5}{24}=\frac{52}{72}-\frac{15}{72}=\frac{37}{72}\).
  4. \(1+\frac{3}{8}=\frac{11}{8}=1\frac{3}{8}\).
  5. \(2-\frac{5}{6}=\frac{12}{6}-\frac{5}{6}=\frac{7}{6}=1\frac{1}{6}\).
  6. \(\frac{5}{13}+\frac{7}{26}=\frac{10}{26}+\frac{7}{26}=\frac{17}{26}\).
  7. \(\frac{11}{63}-\frac{1}{9}=\frac{11}{63}-\frac{7}{63}=\frac{4}{63}\).
  8. \(\frac{12}{15}-\frac{3}{5}=\frac{12}{15}-\frac{9}{15}=\frac{3}{15}=\frac{1}{5}\).
  9. \(5+\frac{4}{9}=5\frac{4}{9}\).
  10. \(4-\frac{7}{11}=\frac{44}{11}-\frac{7}{11}=\frac{37}{11}=3\frac{4}{11}\).
  11. \(\frac{7}{12}+\frac{4}{36}=\frac{21}{36}+\frac{4}{36}=\frac{25}{36}\).
  12. \(\frac{15}{27}-\frac{1}{9}=\frac{15}{27}-\frac{3}{27}=\frac{12}{27}=\frac{4}{9}\).
  13. \(\frac{11}{14}-\frac{1}{7}=\frac{11}{14}-\frac{2}{14}=\frac{9}{14}\).
  14. \(4+\frac{2}{7}=4\frac{2}{7}\).
  15. \(5-\frac{4}{9}=\frac{45}{9}-\frac{4}{9}=\frac{41}{9}=4\frac{5}{9}\).

Ответ: \(\frac{65}{144};\ \frac{2}{45};\ \frac{37}{72};\ 1\frac{3}{8};\ 1\frac{1}{6};\ \frac{17}{26};\ \frac{4}{63};\ \frac{1}{5};\ 5\frac{4}{9};\ 3\frac{4}{11};\ \frac{25}{36};\ \frac{4}{9};\ \frac{9}{14};\ 4\frac{2}{7};\ 4\frac{5}{9}\).