If Eid al-Fitr coincides with Friday, is it permissible for me to pray the Eid prayer and not to pray Jumuâah or vice versa?
Praise be to Allaah.
If the day of Eid coincides with Friday, then whoever prays Eid with the imaam does not have to attend Jumuâah (it is not obligatory on him); in his case it becomes Sunnah. If he does not pray Jumuâah, he has to pray Zuhr. This is in the case of people other than the imaam. As for the imaam, he has to be present for Jumuâah and lead those Muslims who attend the prayer. The Jumuâah prayer should not be forsaken completely on this day.
Shaykh Saalih ibn Fawzaan al-Fawzaan
-- Islam QA