Вопрос:

Вычислите: 1/2 + 3/10; 3/36 + 7/9; 2/5 + 3/20; 1/6 + 5/12; 11/49 + 6/7; 13/24 + 5/8; 3/8 + 6/32; 6/120 + 3/20; 9/16 + 50/100; 1/6 + 1/9; 2/9 + 5/6; 2/9 + 3/8; 2/10 + 6/15; 3/10 + 2/12; 5/12 + 4/15; 3/4 + 5/18.

Ответ:

  1. \(\frac{1}{2}+\frac{3}{10}=\frac{5}{10}+\frac{3}{10}=\frac{4}{5}\)
  2. \(\frac{3}{36}+\frac{7}{9}=\frac{3}{36}+\frac{28}{36}=\frac{31}{36}\)
  3. \(\frac{2}{5}+\frac{3}{20}=\frac{8}{20}+\frac{3}{20}=\frac{11}{20}\)
  4. \(\frac{1}{6}+\frac{5}{12}=\frac{2}{12}+\frac{5}{12}=\frac{7}{12}\)
  5. \(\frac{11}{49}+\frac{6}{7}=\frac{11}{49}+\frac{42}{49}=\frac{53}{49}\)
  6. \(\frac{13}{24}+\frac{5}{8}=\frac{13}{24}+\frac{15}{24}=\frac{7}{6}\)
  7. \(\frac{3}{8}+\frac{6}{32}=\frac{12}{32}+\frac{6}{32}=\frac{9}{16}\)
  8. \(\frac{6}{120}+\frac{3}{20}=\frac{1}{20}+\frac{3}{20}=\frac{1}{5}\)
  9. \(\frac{9}{16}+\frac{50}{100}=\frac{9}{16}+\frac{1}{2}=\frac{17}{16}\)
  10. \(\frac{1}{6}+\frac{1}{9}=\frac{3}{18}+\frac{2}{18}=\frac{5}{18}\)
  11. \(\frac{2}{9}+\frac{5}{6}=\frac{4}{18}+\frac{15}{18}=\frac{19}{18}\)
  12. \(\frac{2}{9}+\frac{3}{8}=\frac{16}{72}+\frac{27}{72}=\frac{43}{72}\)
  13. \(\frac{2}{10}+\frac{6}{15}=\frac{1}{5}+\frac{2}{5}=\frac{3}{5}\)
  14. \(\frac{3}{10}+\frac{2}{12}=\frac{3}{10}+\frac{1}{6}=\frac{9}{30}+\frac{5}{30}=\frac{7}{15}\)
  15. \(\frac{5}{12}+\frac{4}{15}=\frac{25}{60}+\frac{16}{60}=\frac{41}{60}\)
  16. \(\frac{3}{4}+\frac{5}{18}=\frac{27}{36}+\frac{10}{36}=\frac{37}{36}\)