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If `Eid Al-Fitr coincides with Friday, is it permissible for me to pray the `Eid prayer and not to pray Jumu`ah or vice versa?
Praise be to Allah.
If the day of `Eid coincides with Friday, then whoever prays `Eid with the Imam does not have to attend Jumu`ah (it is not obligatory on him); in his case it becomes Sunnah. If he does not pray Jumu`ah, he has to pray Dhuhr.
This is in the case of people other than the Imam. As for the Imam, he has to be present for Jumu`ah and lead those Muslims who attend the prayer. The Jumu`ah prayer should not be forsaken completely on this day.
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And Allah knows best.