Вопрос:

Сравните числа: 20) а) \(\frac{5}{18}\) и \(\frac{2}{9}\); б) \(\frac{3}{16}\) и \(\frac{1}{4}\); в) \(\frac{7}{8}\) и \(\frac{19}{24}\); г) \(\frac{2}{19}\) и \(\frac{4}{38}\). 21) а) \(\frac{4}{7}\) и \(\frac{10}{21}\); б) \(\frac{12}{17}\) и \(\frac{31}{51}\); в) \(\frac{11}{12}\) и \(\frac{47}{48}\); г) \(\frac{3}{14}\) и \(\frac{11}{56}\). 22) а) \(\frac{7}{23}\) и \(\frac{29}{115}\); б) \(\frac{51}{68}\) и \(\frac{25}{34}\); в) \(\frac{1}{4}\) и \(\frac{17}{60}\); г) \(\frac{6}{7}\) и \(\frac{88}{84}\). 23) а) \(\frac{113}{625}\) и \(\frac{4}{25}\); б) \(\frac{7}{15}\) и \(\frac{111}{225}\); в) \(\frac{165}{169}\) и \(\frac{11}{13}\); г) \(\frac{10}{11}\) и \(\frac{111}{121}\). 24) а) \(\frac{127}{256}\) и \(\frac{7}{16}\); б) \(\frac{9}{19}\) и \(\frac{170}{361}\); в) \(\frac{15}{17}\) и \(\frac{254}{289}\); г) \(\frac{197}{324}\) и \(\frac{11}{18}\). 25) а) \(\frac{1}{2}\) и \(\frac{2}{3}\); б) \(\frac{2}{5}\) и \(\frac{1}{2}\); в) \(\frac{4}{5}\) и \(\frac{2}{3}\); г) \(\frac{4}{7}\) и \(\frac{1}{2}\).

Ответ:

Сравним дроби приведением к общему знаменателю или сокращением.

  1. 20: а) \(\frac{5}{18}>\frac{2}{9}\); б) \(\frac{3}{16}<\frac{1}{4}\); в) \(\frac{7}{8}>\frac{19}{24}\); г) \(\frac{2}{19}=\frac{4}{38}\).
  2. 21: а) \(\frac{4}{7}>\frac{10}{21}\); б) \(\frac{12}{17}>\frac{31}{51}\); в) \(\frac{11}{12}<\frac{47}{48}\); г) \(\frac{3}{14}>\frac{11}{56}\).
  3. 22: а) \(\frac{7}{23}>\frac{29}{115}\); б) \(\frac{51}{68}=\frac{25.5}{34}\), поэтому \(\frac{51}{68}>\frac{25}{34}\); в) \(\frac{1}{4}<\frac{17}{60}\); г) \(\frac{6}{7}<\frac{88}{84}\).
  4. 23: а) \(\frac{113}{625}<\frac{4}{25}\); б) \(\frac{7}{15}<\frac{111}{225}\); в) \(\frac{165}{169}<\frac{11}{13}\); г) \(\frac{10}{11}>\frac{111}{121}\).
  5. 24: а) \(\frac{127}{256}<\frac{7}{16}\); б) \(\frac{9}{19}<\frac{170}{361}\); в) \(\frac{15}{17}<\frac{254}{289}\); г) \(\frac{197}{324}<\frac{11}{18}\).
  6. 25: а) \(\frac{1}{2}<\frac{2}{3}\); б) \(\frac{2}{5}<\frac{1}{2}\); в) \(\frac{4}{5}>\frac{2}{3}\); г) \(\frac{4}{7}>\frac{1}{2}\).