Вычислите:
1) (5/7)² * 7/15;
2) (3/4)² * 32/45;
3) (1/2)² * 4/5;
4) (2 5/7)² * 14/19;
5) (2 1/3)² * 27/98;
6) (8/11)² * 11/32;
7) (3/10)² * 5/6;
8) (2/3)² * 15/24;

Считаем и сокращаем дроби:

• 1) \( \left(\frac{5}{7}\right)^2 \cdot \frac{7}{15}=\frac{25}{49}\cdot\frac{7}{15}=\frac{5}{21} \)
• 2) \( \left(\frac{3}{4}\right)^2 \cdot \frac{32}{45}=\frac{9}{16}\cdot\frac{32}{45}=\frac{2}{5} \)
• 3) \( \left(\frac{1}{2}\right)^2 \cdot \frac{4}{5}=\frac{1}{4}\cdot\frac{4}{5}=\frac{1}{5} \)
• 4) \( \left(2\frac{5}{7}\right)^2 \cdot \frac{14}{19}=\left(\frac{19}{7}\right)^2\cdot\frac{14}{19}=\frac{38}{7}=5\frac{3}{7} \)
• 5) \( \left(2\frac{1}{3}\right)^2 \cdot \frac{27}{98}=\left(\frac{7}{3}\right)^2\cdot\frac{27}{98}=\frac{3}{2}=1\frac{1}{2} \)
• 6) \( \left(\frac{8}{11}\right)^2 \cdot \frac{11}{32}=\frac{64}{121}\cdot\frac{11}{32}=\frac{2}{11} \)
• 7) \( \left(\frac{3}{10}\right)^2 \cdot \frac{5}{6}=\frac{9}{100}\cdot\frac{5}{6}=\frac{3}{40} \)
• 8) \( \left(\frac{2}{3}\right)^2 \cdot \frac{15}{24}=\frac{4}{9}\cdot\frac{15}{24}=\frac{5}{18} \)

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