Напишите три дроби, каждая из которых равна: a) \(\frac{2}{3}\); б) \(\frac{4}{5}\); в) \(\frac{6}{7}\); г) \(\frac{8}{9}\).

Приведем примеры дробей, равных данным, умножая числитель и знаменатель на одинаковые числа.

1. \(\frac{2}{3}\)
2. \(\frac{2 \times 2}{3 \times 2} = \frac{4}{6}\)
3. \(\frac{2 \times 3}{3 \times 3} = \frac{6}{9}\)
4. \(\frac{2 \times 4}{3 \times 4} = \frac{8}{12}\)

1. \(\frac{4}{5}\)
2. \(\frac{4 \times 2}{5 \times 2} = \frac{8}{10}\)
3. \(\frac{4 \times 3}{5 \times 3} = \frac{12}{15}\)
4. \(\frac{4 \times 4}{5 \times 4} = \frac{16}{20}\)

1. \(\frac{6}{7}\)
2. \(\frac{6 \times 2}{7 \times 2} = \frac{12}{14}\)
3. \(\frac{6 \times 3}{7 \times 3} = \frac{18}{21}\)
4. \(\frac{6 \times 4}{7 \times 4} = \frac{24}{28}\)

1. \(\frac{8}{9}\)
2. \(\frac{8 \times 2}{9 \times 2} = \frac{16}{18}\)
3. \(\frac{8 \times 3}{9 \times 3} = \frac{24}{27}\)
4. \(\frac{8 \times 4}{9 \times 4} = \frac{32}{36}\)

Ответ: а) \(\frac{4}{6}\), \(\frac{6}{9}\), \(\frac{8}{12}\); б) \(\frac{8}{10}\), \(\frac{12}{15}\), \(\frac{16}{20}\); в) \(\frac{12}{14}\), \(\frac{18}{21}\), \(\frac{24}{28}\); г) \(\frac{16}{18}\), \(\frac{24}{27}\), \(\frac{32}{36}\)