Решебник по математике 5 класс Виленкин ФГОС Часть 1, 2 Часть 2. Параграф 5. Обыкновенные дроби Проверочная работа. Основное свойство дроби

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\[\boxed{\text{Проверочная\ работа}\text{.\ Основное\ свойство\ дроби}}\]

\[\boxed{\text{1.}}\]

\[\textbf{а)}\ \frac{2}{3} = \frac{3}{9}\]

\[неверно:\]

\[\frac{2}{3} = \frac{6}{9}.\]

\[\textbf{б)}\ \frac{1}{4} = \frac{2}{8}\]

\[верно.\]

\[\textbf{в)}\ \frac{3}{5} = \frac{15}{25}\]

\[верно.\]

\[\textbf{г)}\ \frac{4}{6} = \frac{30}{42}\]

\[неверно:\]

\[\frac{4}{6} = \frac{28}{42}.\]

\[\boxed{\text{2.}}\]

\[\textbf{а)}\ \frac{1}{3} = \frac{3}{x}\]

\[\frac{1}{3} = \frac{3}{9}\]

\[x = 9.\]

\[\textbf{б)}\ \frac{2}{6} = \frac{x}{18}\]

\[\frac{2}{6} = \frac{6}{18}\]

\[x = 6.\]

\[\textbf{в)}\ \frac{3}{5} = \frac{9}{x}\]

\[\frac{3}{5} = \frac{9}{15}\]

\[x = 15.\]

\[\textbf{г)}\ \frac{10}{30} = \frac{x}{60}\]

\[\frac{10}{30} = \frac{20}{60}\]

\[x = 20.\]

\[\boxed{\text{3.}}\]

\[\textbf{а)}\ \frac{2}{3} = \frac{4}{6} = \frac{8}{12} = \frac{16}{24};\]

\[\textbf{б)}\ \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20};\]

\[\textbf{в)}\ \frac{6}{7} = \frac{12}{14} = \frac{18}{21} = \frac{30}{35};\]

\[\textbf{г)}\ \frac{8}{9} = \frac{16}{18} = \frac{24}{27} = \frac{48}{54}.\]

\[\boxed{\text{4.}}\]

\[\frac{1}{3} = \frac{6}{18} - 6\ долей.\]

\[\frac{2}{9} = \frac{4}{18} - 4\ доли.\]

\[\frac{4}{6} = \frac{12}{18} - 12\ долей.\]

Глава 34. Сокращение дробей