
gerecht
fair / just
In accordance with the principles of fairness and the law; impartial and objective.
Eine gerechte Verteilung der Aufgaben ist wichtig für die Teamarbeit.
A fair distribution of tasks is important for teamwork.
fair / just
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fair / just
In accordance with the principles of fairness and the law; impartial and objective.
Eine gerechte Verteilung der Aufgaben ist wichtig für die Teamarbeit.
A fair distribution of tasks is important for teamwork.

to do justice to
To meet and adequately address the requirements, expectations, or complexity of a person or thing.
Diese kurze Zusammenfassung kann der Komplexität des Buches nicht gerecht werden.
This short summary cannot do justice to the complexity of the book.
The adjective 'gerecht' (fair/just) belongs to the word family of 'das Recht' (the law/right) and 'der Richter' (the judge). It therefore describes something that corresponds to the rules of fairness and the law.
Der Richter fällte ein gerechtes Urteil.
The judge delivered a fair verdict.
The fixed expression 'gerecht werden' (to do justice to) with the dative has its own meaning. In all other cases, e.g. as an adjective before a noun or with the verb 'sein' (to be), 'gerecht' simply means 'fair'.
Der Chef versucht, allen Mitarbeitern gerecht zu werden.
The boss tries to do justice to all employees.
In the meaning 'fair', 'gerecht' is often combined with nouns such as 'Urteil' (verdict), 'Strafe' (punishment), 'Entscheidung' (decision), or 'Verteilung' (distribution).
Die Spieler forderten eine gerechte Bezahlung.
The players demanded fair pay.
The expression 'jemandem/etwas gerecht werden' (to do justice to someone/something) is a fixed structure. The person or thing whose requirements one meets is always in the dative.
Ein guter Lehrer muss den unterschiedlichen Bedürfnissen seiner Schüler gerecht werden.
A good teacher must do justice to the different needs of his students.
right / quite
Recht refers here to a correct statement or assessment, especially in the expression “recht haben.” Gerecht, on the other hand, describes a fair and impartial decision or treatment. A decision can therefore be factually correct without being considered fair by everyone.

Die Leiterin verteilte die Prämie gerecht nach klaren Kriterien.
The manager distributed the bonus fairly according to clear criteria.
Die Leiterin hatte recht: Die Prämie war falsch berechnet.
The manager was right: The bonus had been calculated incorrectly.