902. Касрҳои зериниро муқоиса намоед: а) \(\frac{3}{4}\) ва \(\frac{2}{4}\); б) \(\frac{7}{9}\) ва \(\frac{8}{9}\); в) \(\frac{4}{5}\) ва \(\frac{2}{3}\); г) \(\frac{6}{7}\) ва \(\frac{6}{5}\); ғ) \(\frac{12}{13}\) ва \(\frac{11}{12}\); д) \(\frac{17}{23}\) ва \(\frac{19}{23}\); е) \(\frac{33}{34}\) ва \(\frac{34}{35}\); ё) \(\frac{74}{75}\) ва \(\frac{13}{15}\); ж) \(\frac{99}{100}\) ва \(\frac{100}{101}\); з) \(\frac{85}{95}\) ва \(\frac{35}{40}\); и) \(\frac{24}{27}\) ва \(\frac{36}{48}\); й) \(\frac{1}{7}\) ва \(\frac{16}{48}\); к) \(\frac{25}{47}\) ва \(\frac{14}{32}\); л) \(\frac{9}{21}\) ва \(\frac{14}{42}\); м) \(\frac{111}{200}\) ва \(\frac{1010}{2020}\).

Касрҳоро бо махраҷи умумӣ ё зарби салибӣ муқоиса мекунем.

а) \(\frac{3}{4}>\frac{2}{4}\); б) \(\frac{7}{9}<\frac{8}{9}\); в) \(\frac{4}{5}>\frac{2}{3}\), зеро 12 > 10; г) \(\frac{6}{7}<\frac{6}{5}\); ғ) \(\frac{12}{13}>\frac{11}{12}\), зеро 144 > 143.

д) \(\frac{17}{23}<\frac{19}{23}\); е) \(\frac{33}{34}>\frac{34}{35}\), зеро 1155 > 1156? Ислоҳ: муқоисаи салибӣ медиҳад \(33\cdot35=1155<34\cdot34=1156\), пас \(\frac{33}{34}<\frac{34}{35}\).

ё) \(\frac{74}{75}>\frac{13}{15}\); ж) \(\frac{99}{100}<\frac{100}{101}\); з) \(\frac{85}{95}=\frac{17}{19}<\frac{35}{40}=\frac{7}{8}\).

и) \(\frac{24}{27}=\frac{8}{9}>\frac{36}{48}=\frac{3}{4}\); й) \(\frac{1}{7}<\frac{16}{48}=\frac{1}{3}\); к) \(\frac{25}{47}>\frac{14}{32}\), зеро 800 > 658; л) \(\frac{9}{21}=\frac{3}{7}>\frac{14}{42}=\frac{1}{3}\); м) \(\frac{111}{200}>\frac{1010}{2020}=\frac{1}{2}\).