2) a) 1/2 3/4 b) 7/10 8/15 g) 6/17 2/11 d) 3/4 7/8 e) 4/20 8/40 e) 17/24 5/8 3) 8/11 35/44 e) 7/10 4/15

Ответ: См. решение

Пошаговое решение:

а) \[\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}\]

Так как \(\frac{2}{4} < \frac{3}{4}\), то \(\frac{1}{2} < \frac{3}{4}\)

б) \(\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}\)

\(\frac{8}{15} = \frac{8 \times 2}{15 \times 2} = \frac{16}{30}\)

Так как \(\frac{21}{30} > \frac{16}{30}\), то \(\frac{7}{10} > \frac{8}{15}\)

г) \(\frac{6}{17} = \frac{6 \times 11}{17 \times 11} = \frac{66}{187}\)

\(\frac{2}{11} = \frac{2 \times 17}{11 \times 17} = \frac{34}{187}\)

Так как \(\frac{66}{187} > \frac{34}{187}\), то \(\frac{6}{17} > \frac{2}{11}\)

д) \(\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}\)

Так как \(\frac{6}{8} < \frac{7}{8}\), то \(\frac{3}{4} < \frac{7}{8}\)

е) \(\frac{4}{20} = \frac{4 \times 2}{20 \times 2} = \frac{8}{40}\)

Так как \(\frac{8}{40} = \frac{8}{40}\), то \(\frac{4}{20} = \frac{8}{40}\)

е) \(\frac{17}{24} = \frac{17 \times 1}{24 \times 1} = \frac{17}{24}\)

\(\frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24}\)

Так как \(\frac{17}{24} > \frac{15}{24}\), то \(\frac{17}{24} > \frac{5}{8}\)

3) \(\frac{8}{11} = \frac{8 \times 4}{11 \times 4} = \frac{32}{44}\)

Так как \(\frac{32}{44} < \frac{35}{44}\), то \(\frac{8}{11} < \frac{35}{44}\)

е) \(\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}\)

\(\frac{4}{15} = \frac{4 \times 2}{15 \times 2} = \frac{8}{30}\)

Так как \(\frac{21}{30} > \frac{8}{30}\), то \(\frac{7}{10} > \frac{4}{15}\)

Ответ: См. решение