Learn Russian: Мы решили по-честному делить домашние обязанности. - We decided to share household chores fairly.

Both mean "honestly" or "fairly," but по-честному is more colloquial and emphasizes doing things "in a fair manner" or "like fair people do." While честно делить is grammatically fine, по-честному adds a more conversational, human tone to the agreement, which is very common in spoken Russian when making deals or sharing things with others.

How exactly is the adverb по-честному formed from the adjective?

It is built using the prefix по- and the dative case ending of the masculine/neuter adjective. The base adjective is честный, so its dative form is честному. When you combine the по- prefix with an -ому or -ему ending, you must always include a hyphen, resulting in по-честному. This pattern is used to describe the manner in which something is done.

Why is делить (to share/divide) imperfective here when the decision was a completed action (решили)?

Решили (perfective) shows that the decision itself was made once and is now complete. However, the action they decided to do—sharing the chores—is an ongoing, repeated, and continuous process. Because they will be dividing the chores regularly going forward, the verb делить must be in the imperfective aspect.

Is домашние обязанности the most common way to say "household chores"?