Упр.1024 ГДЗ Никольский Потапов 5 класс (Математика)

Вычислите частное: а) $$1\frac{1}{5}:\frac{1}{5}$$; б) $$2\frac{2}{5}:\frac{2}{3}$$; в) $$\frac{5}{9}:4\frac{1}{6}$$; г) $$\frac{5}{6}:3\frac{1}{3}$$; д) $$2\frac{1}{2}:1\frac{2}{3}$$; е) $$3\frac{1}{2}:1\frac{3}{4}$$; ж) $$2\frac{2}{5}:1\frac{1}{5}$$; з) $$5\frac{2}{5}:1\frac{1}{9}$$.

а) $$1\frac{1}{5} : \frac{1}{5} = \frac{6}{5} : \frac{1}{5} = \frac{6}{5}\cdot\frac{5}{1}=6$$

б) $$2\frac{2}{5} : \frac{2}{3} = \frac{12}{5} : \frac{2}{3} = \frac{12}{5}\cdot\frac{3}{2}=\frac{18}{5}=3\frac{3}{5}$$

в) $$\frac{5}{9} : 4\frac{1}{6} = \frac{5}{9} : \frac{25}{6} = \frac{5}{9}\cdot\frac{6}{25}=\frac{2}{15}$$

г) $$\frac{5}{6} : 3\frac{1}{3} = \frac{5}{6} : \frac{10}{3} = \frac{5}{6}\cdot\frac{3}{10}=\frac{1}{4}$$

д) $$2\frac{1}{2} : 1\frac{2}{3} = \frac{5}{2} : \frac{5}{3} = \frac{5}{2}\cdot\frac{3}{5}=\frac{3}{2}=1\frac{1}{2}$$

е) $$3\frac{1}{2} : 1\frac{3}{4} = \frac{7}{2} : \frac{7}{4} = \frac{7}{2}\cdot\frac{4}{7}=2$$

ж) $$2\frac{2}{5} : 1\frac{1}{5} = \frac{12}{5} : \frac{6}{5} = \frac{12}{5}\cdot\frac{5}{6}=2$$

з) $$5\frac{2}{5} : 1\frac{1}{9} = \frac{27}{5} : \frac{10}{9} = \frac{27}{5}\cdot\frac{9}{10}=\frac{243}{50}=4\frac{43}{50}$$

Ответ

а) 6; б) $$3\frac{3}{5}$$; в) $$\frac{2}{15}$$; г) $$\frac{1}{4}$$; д) $$1\frac{1}{2}$$; е) 2; ж) 2; з) $$4\frac{43}{50}$$.