Решение:
1) 4 * \(\frac{4}{21}\) = \(\frac{4 * 4}{21}\) = \(\frac{16}{21}\)
2) 6 * \(\frac{7}{18}\) = \(\frac{6 * 7}{18}\) = \(\frac{42}{18}\) = \(\frac{7}{3}\) = 2 \(\frac{1}{3}\)
3) \(\frac{5}{14}\) * 28 = \(\frac{5 * 28}{14}\) = \(\frac{140}{14}\) = 10
4) 5 \(\frac{3}{5}\) * \(\frac{3}{7}\) = \(\frac{28}{5}\) * \(\frac{3}{7}\) = \(\frac{28 * 3}{5 * 7}\) = \(\frac{84}{35}\) = \(\frac{12}{5}\) = 2 \(\frac{2}{5}\)
5) 2 \(\frac{2}{15}\) * 1 \(\frac{9}{16}\) = \(\frac{32}{15}\) * \(\frac{25}{16}\) = \(\frac{32 * 25}{15 * 16}\) = \(\frac{800}{240}\) = \(\frac{10}{3}\) = 3 \(\frac{1}{3}\)
6) 1 \(\frac{7}{8}\) * 1 \(\frac{1}{15}\) * 1 \(\frac{7}{16}\) = \(\frac{15}{8}\) * \(\frac{16}{15}\) * \(\frac{23}{16}\) = \(\frac{15 * 16 * 23}{8 * 15 * 16}\) = \(\frac{23}{8}\) = 2 \(\frac{7}{8}\)
Ответ:
1) \(\frac{16}{21}\)
2) 2 \(\frac{1}{3}\)
3) 10
4) 2 \(\frac{2}{5}\)
5) 3 \(\frac{1}{3}\)
6) 2 \(\frac{7}{8}\)