Решение примеров с дробями

Ниже представлены решения примеров с доски, оформленные для записи в тетрадь. 1) \(\frac{7}{16} + \frac{3}{8} = \frac{7}{16} + \frac{3 \cdot 2}{16} = \frac{7 + 6}{16} = \frac{13}{16}\) 2) \(\frac{5}{12} + \frac{6}{16} = \frac{5 \cdot 4}{48} + \frac{6 \cdot 3}{48} = \frac{20 + 18}{48} = \frac{38}{48} = \frac{19}{24}\) 3) \(\frac{5}{9} + \frac{11}{18} = \frac{5 \cdot 2}{18} + \frac{11}{18} = \frac{10 + 11}{18} = \frac{21}{18} = \frac{7}{6} = 1\frac{1}{6}\) 4) \(\frac{7}{10} + \frac{27}{100} = \frac{70}{100} + \frac{27}{100} = \frac{97}{100}\) 5) \(\frac{7}{13} + \frac{8}{15} = \frac{7 \cdot 15}{195} + \frac{8 \cdot 13}{195} = \frac{105 + 104}{195} = \frac{209}{195} = 1\frac{14}{195}\) 6) \(\frac{1}{5} - \frac{1}{15} = \frac{3}{15} - \frac{1}{15} = \frac{2}{15}\) 7) \(\frac{1}{3} - \frac{1}{4} = \frac{4}{12} - \frac{3}{12} = \frac{1}{12}\) 8) \(\frac{1}{4} - \frac{1}{5} = \frac{5}{20} - \frac{4}{20} = \frac{1}{20}\) 9) \(\frac{3}{10} + \frac{17}{9} = \frac{3 \cdot 9}{90} + \frac{17 \cdot 10}{90} = \frac{27 + 170}{90} = \frac{197}{90} = 2\frac{17}{90}\)