В10. Сравните: а) 654/653 и 653/652; б) 533/534 и 534/535.

а) \(\frac{654}{653}=1+\frac{1}{653}\), а \(\frac{653}{652}=1+\frac{1}{652}\). Поскольку \(\frac{1}{653}<\frac{1}{652}\), получаем \(\frac{654}{653}<\frac{653}{652}\).

б) \(\frac{533}{534}=1-\frac{1}{534}\), а \(\frac{534}{535}=1-\frac{1}{535}\). Поскольку \(\frac{1}{534}>\frac{1}{535}\), получаем \(\frac{533}{534}<\frac{534}{535}\).