Ответ:
Вариант 4
\(\frac{1}{2} + \frac{3}{4} = \frac{1 \times 2}{2 \times 2} + \frac{3}{4} = \frac{2}{4} + \frac{3}{4} = \frac{2+3}{4} = \frac{5}{4} = 1\frac{1}{4}\)
\(\frac{6}{7} + \frac{5}{14} = \frac{6 \times 2}{7 \times 2} + \frac{5}{14} = \frac{12}{14} + \frac{5}{14} = \frac{12+5}{14} = \frac{17}{14} = 1\frac{3}{14}\)
\(\frac{2}{3} + \frac{7}{12} = \frac{2 \times 4}{3 \times 4} + \frac{7}{12} = \frac{8}{12} + \frac{7}{12} = \frac{8+7}{12} = \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}\)
\(\frac{4}{5} + \frac{3}{20} = \frac{4 \times 4}{5 \times 4} + \frac{3}{20} = \frac{16}{20} + \frac{3}{20} = \frac{16+3}{20} = \frac{19}{20}\)
\(\frac{4}{9} + \frac{7}{18} = \frac{4 \times 2}{9 \times 2} + \frac{7}{18} = \frac{8}{18} + \frac{7}{18} = \frac{8+7}{18} = \frac{15}{18} = \frac{5}{6}\)
\(\frac{9}{10} + \frac{4}{15} = \frac{9 \times 3}{10 \times 3} + \frac{4 \times 2}{15 \times 2} = \frac{27}{30} + \frac{8}{30} = \frac{27+8}{30} = \frac{35}{30} = \frac{7}{6} = 1\frac{1}{6}\)
\(\frac{5}{6} + \frac{3}{14} = \frac{5 \times 7}{6 \times 7} + \frac{3 \times 3}{14 \times 3} = \frac{35}{42} + \frac{9}{42} = \frac{35+9}{42} = \frac{44}{42} = \frac{22}{21} = 1\frac{1}{21}\)
\(\frac{5}{12} + \frac{1}{18} = \frac{5 \times 3}{12 \times 3} + \frac{1 \times 2}{18 \times 2} = \frac{15}{36} + \frac{2}{36} = \frac{15+2}{36} = \frac{17}{36}\)
\(\frac{1}{8} + \frac{3}{12} = \frac{1}{8} + \frac{1}{4} = \frac{1}{8} + \frac{1 \times 2}{4 \times 2} = \frac{1}{8} + \frac{2}{8} = \frac{1+2}{8} = \frac{3}{8}\)
\(\frac{3}{4} + \frac{1}{6} = \frac{3 \times 3}{4 \times 3} + \frac{1 \times 2}{6 \times 2} = \frac{9}{12} + \frac{2}{12} = \frac{9+2}{12} = \frac{11}{12}\)
