1. Вычислите: 3 37 ; 6) 11 8. 3 78 12 9 3 93. ; 37 e) 162 ж) 3:4; 9 3) 3: 4 8

Ответ: а) \(\frac{3}{14}\); б) \(\frac{21}{88}\); в) \(\frac{7}{12}\); г) \(\frac{1}{2}\); д) \(\frac{6}{5}\); е) \(\frac{25}{48}\); ж) \(\frac{9}{4}\); з) \(\frac{1}{2}\)

Решение:

a) \(\frac{2}{5} \cdot \frac{3}{7} = \frac{2 \cdot 3}{5 \cdot 7} = \frac{6}{35}\)

б) \(\frac{3}{7} \cdot \frac{11}{8} = \frac{3 \cdot 11}{7 \cdot 8} = \frac{33}{56}\)

в) \(\frac{3}{7} \cdot \frac{7}{12} = \frac{3 \cdot 7}{7 \cdot 12} = \frac{21}{84} = \frac{1}{4}\)

г) \(\frac{3}{2} : 3 = \frac{3}{2} \cdot \frac{1}{3} = \frac{3 \cdot 1}{2 \cdot 3} = \frac{3}{6} = \frac{1}{2}\)

д) \(\frac{2}{5} : \frac{3}{2} = \frac{2}{5} \cdot \frac{2}{3} = \frac{2 \cdot 2}{5 \cdot 3} = \frac{4}{15}\)

e) \(\frac{9}{3} : \frac{16}{2} = 3 : 8 = \frac{3}{8}\)

ж) \(\frac{3}{3} : \frac{4}{3} = 1 : \frac{4}{3} = 1 \cdot \frac{3}{4} = \frac{3}{4}\)

з) \(\frac{3}{9} : \frac{3}{8} = \frac{1}{3} : \frac{3}{8} = \frac{1}{3} \cdot \frac{8}{3} = \frac{8}{9}\)

Ответ: а) \(\frac{3}{14}\); б) \(\frac{21}{88}\); в) \(\frac{7}{12}\); г) \(\frac{1}{2}\); д) \(\frac{6}{5}\); е) \(\frac{25}{48}\); ж) \(\frac{9}{4}\); з) \(\frac{1}{2}\)