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Ответ:
1.
\( 3 \frac{1}{16} - \frac{1}{8} = 3 \frac{1}{16} - \frac{1 \cdot 2}{8 \cdot 2} = 3 \frac{1}{16} - \frac{2}{16} \)
Заменим \( 3 \frac{1}{16} \) на \( 2 \frac{16+1}{16} = 2 \frac{17}{16} \)
\( 2 \frac{17}{16} - \frac{2}{16} = 2 + \frac{17-2}{16} = 2 + \frac{15}{16} = 2 \frac{15}{16} \)
2.
\( 7 \frac{9}{20} - 5 \frac{17}{30} = (7-5) + (\frac{9}{20} - \frac{17}{30}) = 2 + \frac{9 \cdot 3 - 17 \cdot 2}{60} = 2 + \frac{27 - 34}{60} = 2 - \frac{7}{60} \)
Заменим 2 на \( 1 + \frac{60}{60} \)
\( 1 + \frac{60}{60} - \frac{7}{60} = 1 + \frac{60-7}{60} = 1 + \frac{53}{60} = 1 \frac{53}{60} \)
3.
\( 4 \frac{2}{7} - 1 \frac{1}{9} = (4-1) + (\frac{2}{7} - \frac{1}{9}) = 3 + \frac{2 \cdot 9 - 1 \cdot 7}{63} = 3 + \frac{18-7}{63} = 3 + \frac{11}{63} = 3 \frac{11}{63} \)
4.
\( 9 \frac{17}{24} - 8 \frac{11}{36} = (9-8) + (\frac{17}{24} - \frac{11}{36}) = 1 + \frac{17 \cdot 3 - 11 \cdot 2}{72} = 1 + \frac{51 - 22}{72} = 1 + \frac{29}{72} = 1 \frac{29}{72} \)
5.
\( 9 \frac{7}{9} - 4 \frac{5}{6} = (9-4) + (\frac{7}{9} - \frac{5}{6}) = 5 + \frac{7 \cdot 2 - 5 \cdot 3}{18} = 5 + \frac{14 - 15}{18} = 5 - \frac{1}{18} \)
Заменим 5 на \( 4 + \frac{18}{18} \)
\( 4 + \frac{18}{18} - \frac{1}{18} = 4 + \frac{17}{18} = 4 \frac{17}{18} \)
6.
\( 6 \frac{7}{32} - 2 \frac{11}{48} = (6-2) + (\frac{7}{32} - \frac{11}{48}) = 4 + \frac{7 \cdot 3 - 11 \cdot 2}{96} = 4 + \frac{21 - 22}{96} = 4 - \frac{1}{96} \)
Заменим 4 на \( 3 + \frac{96}{96} \)
\( 3 + \frac{96}{96} - \frac{1}{96} = 3 + \frac{95}{96} = 3 \frac{95}{96} \)
