Question

383 1. 7/8 и 2/3 2. 6/7 и 4/5 3. 3/5 и 4/9 4.8/11 и 5/6 5. 9/10 и 1/3 6. 11/15 и 4/7 7. 5/8 и 1/11 8. 17/20 и 2/9​

Answer 1

Давайте решим данные арифметические задачи с дробями:

1. \( \frac{7}{8} + \frac{2}{3} \): \[ \frac{7}{8} + \frac{2}{3} = \frac{21}{24} + \frac{16}{24} = \frac{37}{24} \]

2. \( \frac{6}{7} + \frac{4}{5} \): \[ \frac{6}{7} + \frac{4}{5} = \frac{30}{35} + \frac{28}{35} = \frac{58}{35} \]

3. \( \frac{3}{5} + \frac{4}{9} \): \[ \frac{3}{5} + \frac{4}{9} = \frac{27}{45} + \frac{20}{45} = \frac{47}{45} \]

4. \( \frac{8}{11} + \frac{5}{6} \): \[ \frac{8}{11} + \frac{5}{6} = \frac{48}{66} + \frac{55}{66} = \frac{103}{66} \]

5. \( \frac{9}{10} + \frac{1}{3} \): \[ \frac{9}{10} + \frac{1}{3} = \frac{27}{30} + \frac{10}{30} = \frac{37}{30} \]

6. \( \frac{11}{15} + \frac{4}{7} \): \[ \frac{11}{15} + \frac{4}{7} = \frac{77}{105} + \frac{60}{105} = \frac{137}{105} \]

7. \( \frac{5}{8} + \frac{1}{11} \): \[ \frac{5}{8} + \frac{1}{11} = \frac{55}{88} + \frac{8}{88} = \frac{63}{88} \]

8. \( \frac{17}{20} + \frac{2}{9} \): \[ \frac{17}{20} + \frac{2}{9} = \frac{153}{180} + \frac{40}{180} = \frac{193}{180} \]

Таким образом, получаются следующие суммы:

1. \( \frac{7}{8} + \frac{2}{3} = \frac{37}{24} \) 2. \( \frac{6}{7} + \frac{4}{5} = \frac{58}{35} \) 3. \( \frac{3}{5} + \frac{4}{9} = \frac{47}{45} \) 4. \( \frac{8}{11} + \frac{5}{6} = \frac{103}{66} \) 5. \( \frac{9}{10} + \frac{1}{3} = \frac{37}{30} \) 6. \( \frac{11}{15} + \frac{4}{7} = \frac{137}{105} \) 7. \( \frac{5}{8} + \frac{1}{11} = \frac{63}{88} \) 8. \( \frac{17}{20} + \frac{2}{9} = \frac{193}{180} \)