To mistakenly think that you don't have to do housework and help with childcare
この文章が以下のように翻訳されています。
家事も育児もやらなくて良いんだって勘違いする ー To mistakenly think that you don't have to do housework and help with childcare
家事も ー housework / chores / help out around the house
育児も ー help with childcare
やらなくて良いんだって ー you don't have to / it’s ok not to do
勘違いする ー to misunderstand / To mistakenly think that
参考になれば嬉しいです。