If someone is busy at home and the prayer is called, he should go join.
1 hadith
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Hadith 404
It was asked from Ummul Momineen Aisha Siddiqa Tayyiba Tahira (may Allah be pleased with her), "What did the Noble Prophet (peace and blessings be upon him) do in his house?" She replied that he used to be engaged in the household chores, that is, in serving his family members. Then when the time for prayer would come, he (peace and blessings be upon him) would go for the prayer.