1. Выполните умножение: 1) 5 \(\cdot\) \(\frac{2}{7}\) 2) 4 \(\cdot\) 27 \(\frac{4}{9}\) 3) \(\frac{6}{13}\) \(\cdot\) 13 \(\frac{6}{18}\) 4) \(\frac{34}{45}\) \(\cdot\) 25 \(\frac{51}{51}\)

1. Выполним умножение:

1. \( 5 \cdot \frac{2}{7} = \frac{5 \cdot 2}{7} = \frac{10}{7} = 1\frac{3}{7} \)
2. \( 4 \cdot 27 \frac{4}{9} = 4 \cdot \frac{27 \cdot 9 + 4}{9} = 4 \cdot \frac{243 + 4}{9} = 4 \cdot \frac{247}{9} = \frac{4 \cdot 247}{9} = \frac{988}{9} = 109\frac{7}{9} \)
3. \( \frac{6}{13} \cdot 13 \frac{6}{18} = \frac{6}{13} \cdot \frac{13 \cdot 18 + 6}{18} = \frac{6}{13} \cdot \frac{234 + 6}{18} = \frac{6}{13} \cdot \frac{240}{18} = \frac{6}{13} \cdot \frac{40}{3} = \frac{2 \cdot 40}{13} = \frac{80}{13} = 6\frac{2}{13} \)
4. \( \frac{34}{45} \cdot 25 \frac{51}{51} = \frac{34}{45} \cdot (25+1) = \frac{34}{45} \cdot 26 = \frac{34 \cdot 26}{45} = \frac{884}{45} = 19\frac{29}{45} \)