Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача · 5 класс Задача №2627767
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Аноним
14 января 2025 07:42 · публичный вопрос
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Аноним

2/5 х 10/3 12/5 х 3/4 18/7 х 21/4 9/8 х 2/3 15/4 x 7/3 17/6 х 2/9 14/9 x 5/3 2/7 х 3/4 16/5 х 3/8

Ответ нейросети
14 января 2025 07:42

To solve the multiplication of the fractions, you multiply the numerators together and the denominators together. Here are the calculations for each expression:

  1. \( \frac{2}{5} \times \frac{10}{3} \) \[ = \frac{2 \times 10}{5 \times 3} = \frac{20}{15} = \frac{4}{3} \]

  2. \( \frac{12}{5} \times \frac{3}{4} \) \[ = \frac{12 \times 3}{5 \times 4} = \frac{36}{20} = \frac{9}{5} \]

  3. \( \frac{18}{7} \times \frac{21}{4} \) \[ = \frac{18 \times 21}{7 \times 4} = \frac{378}{28} = \frac{189}{14} = \frac{27}{2} \]

  4. \( \frac{9}{8} \times \frac{2}{3} \) \[ = \frac{9 \times 2}{8 \times 3} = \frac{18}{24} = \frac{3}{4} \]

  5. \( \frac{15}{4} \times \frac{7}{3} \) \[ = \frac{15 \times 7}{4 \times 3} = \frac{105}{12} = \frac{35}{4} \]

  6. \( \frac{17}{6} \times \frac{2}{9} \) \[ = \frac{17 \times 2}{6 \times 9} = \frac{34}{54} = \frac{17}{27} \]

  7. \( \frac{14}{9} \times \frac{5}{3} \) \[ = \frac{14 \times 5}{9 \times 3} = \frac{70}{27} \]

  8. \( \frac{2}{7} \times \frac{3}{4} \) \[ = \frac{2 \times 3}{7 \times 4} = \frac{6}{28} = \frac{3}{14} \]

  9. \( \frac{16}{5} \times \frac{3}{8} \) \[ = \frac{16 \times 3}{5 \times 8} = \frac{48}{40} = \frac{6}{5} \]

Here are the final results for each multiplication:

  1. \( \frac{4}{3} \)
  2. \( \frac{9}{5} \)
  3. \( \frac{27}{2} \)
  4. \( \frac{3}{4} \)
  5. \( \frac{35}{4} \)
  6. \( \frac{17}{27} \)
  7. \( \frac{70}{27} \)
  8. \( \frac{3}{14} \)
  9. \( \frac{6}{5} \)