1. Преобразуйте смешанные числа по образцу:

Решение:

Приведём примеры преобразования смешанных чисел:

• \( 7\frac{2}{3} = \frac{7 \cdot 3 + 2}{3} = \frac{21+2}{3} = \frac{23}{3} \)
• \( 15\frac{7}{9} = \frac{15 \cdot 9 + 7}{9} = \frac{135+7}{9} = \frac{142}{9} \)
• \( 12\frac{5}{8} = \frac{12 \cdot 8 + 5}{8} = \frac{96+5}{8} = \frac{101}{8} \)
• \( 1\frac{6}{10} = \frac{1 \cdot 10 + 6}{10} = \frac{10+6}{10} = \frac{16}{10} \)
• \( 11\frac{2}{10} = \frac{11 \cdot 10 + 2}{10} = \frac{110+2}{10} = \frac{112}{10} \)
• \( 16\frac{1}{5} = \frac{16 \cdot 5 + 1}{5} = \frac{80+1}{5} = \frac{81}{5} \)
• \( 3\frac{2}{7} = \frac{3 \cdot 7 + 2}{7} = \frac{21+2}{7} = \frac{23}{7} \)
• \( 2\frac{8}{9} = \frac{2 \cdot 9 + 8}{9} = \frac{18+8}{9} = \frac{26}{9} \)
• \( 1\frac{1}{7} = \frac{1 \cdot 7 + 1}{7} = \frac{7+1}{7} = \frac{8}{7} \)
• \( 1\frac{3}{5} = \frac{1 \cdot 5 + 3}{5} = \frac{5+3}{5} = \frac{8}{5} \)
• \( 1\frac{4}{9} = \frac{1 \cdot 9 + 4}{9} = \frac{9+4}{9} = \frac{13}{9} \)
• \( 1\frac{9}{100} = \frac{1 \cdot 100 + 9}{100} = \frac{100+9}{100} = \frac{109}{100} \)