6.241 Сравните выражения: 6 2+8 a)음+음름+음+ 17 17'17 6) 7-3 19 19 и в)9-7 8 32 5 16 16 г)+8 12 18 B) 7.5 и9 8 16

• а)

\[\frac{3}{17} + \frac{6}{17} + \frac{2}{17} + \frac{8}{17} = \frac{3+6+2+8}{17} = \frac{19}{17}\]

• б)

\[\frac{7}{19} - \frac{3}{19} = \frac{7-3}{19} = \frac{4}{19}\]

• в)

\[\frac{9}{8} - \frac{7}{32} = \frac{9 \cdot 4}{8 \cdot 4} - \frac{7}{32} = \frac{36}{32} - \frac{7}{32} = \frac{36-7}{32} = \frac{29}{32}\]

• г)

\[\frac{6}{12} + \frac{8}{18} = \frac{1}{2} + \frac{4}{9} = \frac{1 \cdot 9}{2 \cdot 9} + \frac{4 \cdot 2}{9 \cdot 2} = \frac{9}{18} + \frac{8}{18} = \frac{9+8}{18} = \frac{17}{18}\]

• д)

\[7\frac{5}{8} \text{ и } \frac{9}{16} \Rightarrow 7\frac{5}{8} = 7\frac{5 \cdot 2}{8 \cdot 2} = 7\frac{10}{16} > \frac{9}{16}\]

• е)

\[\frac{7}{8} \text{ и } \frac{5}{16} \Rightarrow \frac{7}{8} = \frac{7 \cdot 2}{8 \cdot 2} = \frac{14}{16} > \frac{5}{16}\]

Ответ: а) \(\frac{19}{17}\); б) \(\frac{4}{19}\); в) \(\frac{29}{32}\); г) \(\frac{17}{18}\); д) \(7\frac{5}{8} > \frac{9}{16}\); е) \(\frac{7}{8} > \frac{5}{16}\)