Răspuns :
[tex] \\ \\ \\ \frac{2018} {2019} < \frac{2019}{2020} \\ \\ \frac{2018}{2019} = \frac{2019 - 1}{2019} = \frac{2019}{2019} - \frac{1}{2019} = 1 - \frac{1}{2019} \\ \\ \\ \\ \frac{2019}{2020} = \frac{2020 - 1}{2020} = \frac{2020}{2020} - \frac{1}{2020} = 1 - \frac{1}{2020} \\ \\ \frac{1}{2019} > \frac{1}{2020} = > 1 - \frac{1}{2019} < 1 - \frac{1}{2020} < = > \frac{2018}{2019} < \frac{2019}{2020} \\ \\ \\ \frac{2018}{2019} < \frac{2019}{2020} < \frac{2020}{2021} < \frac{2021}{2022} \\ \\ \frac{2019 - 1}{2019} < \frac{2020 - 1}{2020} < \frac{202 1- 1}{2021} < \frac{2022 - 1}{2022} \\ \\ \frac{2019}{2019} - \frac{1}{2019} < \frac{2020}{2020} - \frac{1}{2020} < \frac{2021}{2021} - \frac{1}{2021} < \frac{2022}{2022} - \frac{1}{2022} \\ \\ 1 - \frac{1}{2019} < 1 - \frac{1}{2020} < 1 - \frac{1}{2021} < 1 - \frac{1}{2022} < = > \frac{2021}{2022} \: mai \: mare[/tex]
Salut!
Am comparat prima dată 2018 / 2019 cu 2019 / 2020, apoi am făcut același lucru pentru toate fractiile.
Glisează spre dreapta pentru a vedea răspunsul complet.