Найдите произведение: a) \(\frac{5}{6}\) · 3; б) \(\frac{16}{21}\) · 14; в) \(\frac{1}{2}\) · 50; г) 13 · \(\frac{8}{13}\); д) 1 · \(\frac{4}{5}\); е) \(\frac{11}{15}\) · 0.

Решение:

1. а) \(\frac{5}{6}\) · 3 = \(\frac{5 \cdot 3}{6}\) = \(\frac{5 \cdot 3}{2 \cdot 3}\) = \(\frac{5}{2}\) = 2\(\frac{1}{2}\)
2. б) \(\frac{16}{21}\) · 14 = \(\frac{16 \cdot 14}{21}\) = \(\frac{16 \cdot 2 \cdot 7}{3 \cdot 7}\) = \(\frac{32}{3}\) = 10\(\frac{2}{3}\)
3. в) \(\frac{1}{2}\) · 50 = \(\frac{1 \cdot 50}{2}\) = \(\frac{50}{2}\) = 25
4. г) 13 · \(\frac{8}{13}\) = \(\frac{13 \cdot 8}{13}\) = 8
5. д) 1 · \(\frac{4}{5}\) = \(\frac{4}{5}\) = \(\frac{9}{5}\) = 1\(\frac{4}{5}\)
6. е) \(\frac{11}{15}\) · 0 = 0

Ответ: а) 2\(\frac{1}{2}\); б) 10\(\frac{2}{3}\); в) 25; г) 8; д) 1\(\frac{4}{5}\); е) 0