Решебник по математике 5 класс Ерина Виленкин рабочая тетрадь Часть 1, 2 Часть 2 | Страница 41

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

\[\textbf{а)}\ \frac{15}{20} = \frac{3}{4} = \frac{21}{28}\]

\[\frac{21}{28} = \frac{3}{4} = \frac{27}{36}\]

\[\textbf{б)}\ \frac{16}{40} = \frac{2}{5} = \frac{18}{45}\]

\[\frac{28}{36} = \frac{7}{9} = \frac{63}{81}\]

\[\textbf{в)}\ \frac{48}{72} = \frac{2}{3} = \frac{200}{300}\]

\[\frac{35}{105} = \frac{1}{3} = \frac{2}{6}\]

\[\boxed{\mathbf{5.}}\]

\[\textbf{а)}\ НОК;\]

\[\textbf{б)}\ 1)\ наименьшее\ общее\ \]

\[кратное;\ \]

\[2)\ наименьший\ общий\ \]

\[знаменатель\ на\ знаменатели;\]

\(дополнительный;\)

\[3)\ дополнительный.\]

\[\boxed{\mathbf{6.}}\]

\[\textbf{а)}\ \frac{1}{4}\ и\ \frac{1}{3}\]

\[\frac{1}{4} = \frac{3}{12};\ \]

\[\frac{1}{3} = \frac{4}{12}.\]

\[\textbf{б)}\ \frac{1}{5}\ и\ \frac{1}{6}\]

\[\frac{1}{5} = \frac{6}{30};\]

\[\frac{1}{6} = \frac{5}{30}.\]

\[\textbf{в)}\ \frac{1}{7}\ и\ \frac{1}{9}\]

\[\frac{1}{7} = \frac{9}{63};\]

\[\frac{1}{9} = \frac{7}{63}.\]

\[\textbf{г)}\ \frac{2}{3};\frac{5}{6}\ и\ \frac{7}{12}\]

\[\frac{2}{3} = \frac{8}{12};\]

\[\frac{5}{6} = \frac{10}{12}.\]

\[\textbf{д)}\ \frac{4}{3};\ \frac{5}{8}\ и\ \frac{11}{16}\]

\[НОК(3;8;16) = 48\]

\[\frac{4}{3} = \frac{64}{48};\]

\[\frac{5}{8} = \frac{30}{48};\ \]

\[\frac{11}{16} = \frac{33}{48}.\]

\[\textbf{е)}\ \frac{1}{6};\ \frac{7}{8}\ и\ \frac{2}{5}\]

\[НОК(6;8;5) = 120\]

\[\frac{1}{6} = \frac{20}{120};\]

\[\frac{7}{8} = \frac{105}{120};\]

\[\frac{2}{5} = \frac{48}{120}.\]

\[\textbf{ж)}\ \frac{3}{5};\ \frac{7}{15};\ \frac{8}{25}\]

\[\frac{3}{5} = \frac{45}{75};\]

\[\frac{7}{15} = \frac{35}{75};\]

\[\frac{8}{25} = \frac{24}{75}.\]