Сверь числа и знаки с фото.
Расположите в порядке возрастания обыкновенные дроби: \(\frac{12}{15}\); \(\frac{3}{15}\); \(\frac{6}{15}\); \(\frac{4}{15}\); \(\frac{1}{15}\); \(\frac{2}{15}\); \(\frac{11}{15}\); \(\frac{7}{15}\).
Сравните обыкновенные дроби:
- \(\frac{5}{8}\) и \(\frac{3}{4}\); 2) \(\frac{2}{3}\) и \(\frac{7}{9}\); 3) \(\frac{1}{16}\) и \(\frac{7}{8}\); 4) \(\frac{7}{9}\) и \(\frac{17}{18}\);
- \(\frac{7}{12}\) и \(\frac{8}{9}\); 6) \(\frac{2}{9}\) и \(\frac{1}{10}\); 7) \(\frac{5}{24}\) и \(\frac{3}{16}\); 8) \(\frac{1}{20}\) и \(\frac{2}{15}\).
- Расположите в порядке возрастания обыкновенные дроби: \(\frac{1}{3}\); \(\frac{2}{5}\); \(\frac{3}{10}\); \(\frac{4}{15}\); \(\frac{7}{30}\).
402
Знаменатели одинаковые — сравниваем числители:
\[ \frac{1}{15}<\frac{2}{15}<\frac{3}{15}<\frac{4}{15}<\frac{6}{15}<\frac{7}{15}<\frac{11}{15}<\frac{12}{15} \]
403
Приводим к общему знаменателю:
- \(\frac{5}{8}<\frac{3}{4}\) (так как \(\frac{3}{4}=\frac{6}{8}\))
- \(\frac{2}{3}<\frac{7}{9}\) (\(\frac{2}{3}=\frac{6}{9}\))
- \(\frac{1}{16}<\frac{7}{8}\) (\(\frac{7}{8}=\frac{14}{16}\))
- \(\frac{7}{9}<\frac{17}{18}\) (\(\frac{7}{9}=\frac{14}{18}\))
- \(\frac{7}{12}<\frac{8}{9}\) (\(\frac{21}{36}<\frac{32}{36}\))
- \(\frac{2}{9}>\frac{1}{10}\) (\(\frac{20}{90}>\frac{9}{90}\))
- \(\frac{5}{24}>\frac{3}{16}\) (\(\frac{10}{48}>\frac{9}{48}\))
- \(\frac{1}{20}<\frac{2}{15}\) (\(\frac{3}{60}<\frac{8}{60}\))
404
Приводим к знаменателю 30: \(\frac{10}{30},\ \frac{12}{30},\ \frac{9}{30},\ \frac{8}{30},\ \frac{7}{30}\).
\[ \frac{7}{30}<\frac{4}{15}<\frac{3}{10}<\frac{1}{3}<\frac{2}{5} \]