Упр.148 Рабочая тетрадь №1 ГДЗ Мерзляк Полонский 6 класс (Математика)

Заполните цепочку вычислений.

1. 1) $$\frac{2}{7}+\frac{1}{14}\ \underline{\hspace{1cm}}\cdot\frac{7}{10}\ \underline{\hspace{1cm}}\cdot\frac{1}{4}\ \underline{\hspace{1cm}}\cdot 32\ \underline{\hspace{1cm}}-1\frac{5}{13}\ \underline{\hspace{1cm}};$$
   2) $$\frac{11}{18}-\frac{1}{9}\ \underline{\hspace{1cm}}\cdot 2\frac{2}{3}\ \underline{\hspace{1cm}}\cdot\frac{1}{2}\ \underline{\hspace{1cm}}+\frac{5}{6}\ \underline{\hspace{1cm}}\cdot 10\ \underline{\hspace{1cm}}.$$

1)

$$\frac{2}{7}+\frac{1}{14}=\frac{4}{14}+\frac{1}{14}=\frac{5}{14}$$
$$\frac{5}{14}\cdot\frac{7}{10}=\frac{1}{4}$$
$$\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}$$
$$\frac{1}{16}\cdot 32=2$$
$$2-1\frac{5}{13}=\frac{8}{13}$$

2)

$$\frac{11}{18}-\frac{1}{9}=\frac{11}{18}-\frac{2}{18}=\frac{9}{18}=\frac{1}{2}$$
$$\frac{1}{2}\cdot 2\frac{2}{3}=\frac{1}{2}\cdot\frac{8}{3}=\frac{4}{3}$$
$$\frac{4}{3}\cdot\frac{1}{2}=\frac{2}{3}$$
$$\frac{2}{3}+\frac{5}{6}=\frac{3}{2}$$
$$\frac{3}{2}\cdot 10=15$$

Ответ: 1) $$\frac{5}{14},\ \frac{1}{4},\ \frac{1}{16},\ 2,\ \frac{8}{13}$$; 2) $$\frac{1}{2},\ \frac{4}{3},\ \frac{2}{3},\ \frac{3}{2},\ 15$$.