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

a) \(\frac{5}{6}\) · 3 = \(\frac{5}{6}\) · \(\frac{3}{1}\) = \(\frac{5·3}{6·1}\) = \(\frac{15}{6}\) = \(\frac{5}{2}\) = 2 \(\frac{1}{2}\)

б) \(\frac{16}{21}\) · 14 = \(\frac{16}{21}\) · \(\frac{14}{1}\) = \(\frac{16·14}{21·1}\) = \(\frac{16·2}{3·1}\) = \(\frac{32}{3}\) = 10 \(\frac{2}{3}\)

в) \(\frac{1}{2}\) · 50 = \(\frac{1}{2}\) · \(\frac{50}{1}\) = \(\frac{1·50}{2·1}\) = \(\frac{50}{2}\) = 25

г) 13 · \(\frac{8}{13}\) = \(\frac{13}{1}\) · \(\frac{8}{13}\) = \(\frac{13·8}{1·13}\) = \(\frac{8}{1}\) = 8

д) 1 · \(\frac{4}{5}\) = \(\frac{1}{1}\) · \(\frac{4}{5}\) = \(\frac{1·4}{1·5}\) = \(\frac{4}{5}\)

е) \(\frac{11}{15}\) · 0 = 0

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