Вариант 2. Выполните деление.

Решение:

а) \( \frac{5}{9} : \frac{3}{5} = \frac{5}{9} \times \frac{5}{3} = \frac{25}{27} \)

б) \( 7 \frac{6}{7} : \frac{3}{7} = \frac{55}{7} : \frac{3}{7} = \frac{55}{7} \times \frac{7}{3} = \frac{55}{3} = 18 \frac{1}{3} \)

в) \( 3 \frac{5}{8} : \frac{7}{8} = \frac{29}{8} : \frac{7}{8} = \frac{29}{8} \times \frac{8}{7} = \frac{29}{7} = 4 \frac{1}{7} \)

г) \( 14 : \frac{7}{15} = 14 \times \frac{15}{7} = 2 \times 15 = 30 \)

д) \( \frac{10}{51} : \frac{15}{68} = \frac{10}{51} \times \frac{68}{15} = \frac{2}{3} \times \frac{4}{3} = \frac{8}{9} \)

е) \( 24 \frac{1}{25} : \frac{1}{3} = \frac{601}{25} : \frac{1}{3} = \frac{601}{25} \times 3 = \frac{1803}{25} = 72 \frac{3}{25} \)

х) \( 8 \frac{1}{3} : 2 \frac{2}{3} = \frac{25}{3} : \frac{8}{3} = \frac{25}{3} \times \frac{3}{8} = \frac{25}{8} = 3 \frac{1}{8} \)

к) \( 3 \frac{5}{9} : 2 \frac{2}{3} = \frac{32}{9} : \frac{8}{3} = \frac{32}{9} \times \frac{3}{8} = \frac{4}{3} = 1 \frac{1}{3} \)

л) \( \frac{6}{11} : 3 = \frac{6}{11} \times \frac{1}{3} = \frac{2}{11} \)

м) \( \frac{27}{81} : \frac{52}{65} = \frac{1}{3} : \frac{4}{5} = \frac{1}{3} \times \frac{5}{4} = \frac{5}{12} \)

н) \( 32 \frac{8}{9} : \frac{8}{9} = \frac{296}{9} : \frac{8}{9} = \frac{296}{9} \times \frac{9}{8} = 37 \)

о) \( 14 \frac{2}{3} : 4 \frac{4}{9} = \frac{44}{3} : \frac{40}{9} = \frac{44}{3} \times \frac{9}{40} = \frac{11}{1} \times \frac{3}{10} = \frac{33}{10} = 3 \frac{3}{10} \)

п) \( 5 \frac{10}{27} : 9 \frac{2}{9} = \frac{145}{27} : \frac{83}{9} = \frac{145}{27} \times \frac{9}{83} = \frac{145}{3} \times \frac{1}{83} = \frac{145}{249} \)

р) \( \frac{12}{13} : 6 = \frac{12}{13} \times \frac{1}{6} = \frac{2}{13} \)

Ответ: а) \( \frac{25}{27} \), б) \( 18 \frac{1}{3} \), в) \( 4 \frac{1}{7} \), г) \( 30 \), д) \( \frac{8}{9} \), е) \( 72 \frac{3}{25} \), х) \( 3 \frac{1}{8} \), к) \( 1 \frac{1}{3} \), л) \( \frac{2}{11} \), м) \( \frac{5}{12} \), н) \( 37 \), о) \( 3 \frac{3}{10} \), п) \( \frac{145}{249} \), р) \( \frac{2}{13} \).