Упр.496 Часть 3 ГДЗ Дорофеев Петерсон 6 класс (Математика)

а) 0,2:4/9;
б) 8/15 :6,4;
в) 3 1/7 :0,55;
г) 5,6:8 3/4.

а) $$0{,}2: \frac{4}{9} = \frac{1}{5} : \frac{4}{9} = \frac{1}{5}\cdot \frac{9}{4} = \frac{9}{20}$$

б) $$\frac{8}{15}:6{,}4 = \frac{8}{15}:\frac{64}{10} = \frac{8}{15}:\frac{32}{5} = \frac{8}{15}\cdot \frac{5}{32} = \frac{1}{12}$$

в) $$3\frac{1}{7}:0{,}55 = \frac{22}{7}:\frac{55}{100} = \frac{22}{7}:\frac{11}{20} = \frac{22}{7}\cdot \frac{20}{11} = \frac{40}{7}$$

г) $$5{,}6:8\frac{3}{4} = \frac{56}{10}:\frac{35}{4} = \frac{28}{5}:\frac{35}{4} = \frac{28}{5}\cdot \frac{4}{35} = \frac{16}{25}$$

Ответ

а) $$\frac{9}{20}$$; б) $$\frac{1}{12}$$; в) $$\frac{40}{7}$$; г) $$\frac{16}{25}$$.