Решить примеры: 29/4 - 3/4 2 3/4 : 1 1/2 1 1/2 + 2 1/5 2 1/6 + 3 1/5 1 1/2 : 10/3 1 3/5 : 1 1/3

Решение:

1. \( \frac{29}{4} - \frac{3}{4} = \frac{29-3}{4} = \frac{26}{4} = \frac{13}{2} = 6 \frac{1}{2} \)
2. \( 2 \frac{3}{4} : 1 \frac{1}{2} = \frac{11}{4} : \frac{3}{2} = \frac{11}{4} \times \frac{2}{3} = \frac{22}{12} = \frac{11}{6} = 1 \frac{5}{6} \)
3. \( 1 \frac{1}{2} + 2 \frac{1}{5} = \frac{3}{2} + \frac{11}{5} = \frac{3 \times 5 + 11 \times 2}{10} = \frac{15 + 22}{10} = \frac{37}{10} = 3 \frac{7}{10} \)
4. \( 2 \frac{1}{6} + 3 \frac{1}{5} = \frac{13}{6} + \frac{16}{5} = \frac{13 \times 5 + 16 \times 6}{30} = \frac{65 + 96}{30} = \frac{161}{30} = 5 \frac{11}{30} \)
5. \( 1 \frac{1}{2} : \frac{10}{3} = \frac{3}{2} : \frac{10}{3} = \frac{3}{2} \times \frac{3}{10} = \frac{9}{20} \)
6. \( 1 \frac{3}{5} : 1 \frac{1}{3} = \frac{8}{5} : \frac{4}{3} = \frac{8}{5} \times \frac{3}{4} = \frac{24}{20} = \frac{6}{5} = 1 \frac{1}{5} \)

Ответ: 1) \( 6 \frac{1}{2} \) 2) \( 1 \frac{5}{6} \) 3) \( 3 \frac{7}{10} \) 4) \( 5 \frac{11}{30} \) 5) \( \frac{9}{20} \) 6) \( 1 \frac{1}{5} \)