Is it required that the six days of Shawwal be fasted consecutively starting from the second day of the festival?
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The questioner : A questioner says: Many people say that fasting six days in Shawwal must be from the second day of the festival, otherwise there is no benefit if it is not arranged from the second day and made consecutive. Please inform us.
The Shaykh : We say that the days of Shawwal are fine whether they are from the second day of the festival or from the end of the month, and whether they are consecutive or scattered. What is important is that they be after the completion of the fasting. If a person has missed days to make up, he prioritizes them over fasting the six days of Shawwal. So if, for example, he has ten days of Ramadan to make up, we say: Fast ten days of Ramadan, and then after that, fast six days of Shawwal.
The Shaykh : We say that the days of Shawwal are fine whether they are from the second day of the festival or from the end of the month, and whether they are consecutive or scattered. What is important is that they be after the completion of the fasting. If a person has missed days to make up, he prioritizes them over fasting the six days of Shawwal. So if, for example, he has ten days of Ramadan to make up, we say: Fast ten days of Ramadan, and then after that, fast six days of Shawwal.
Source
دروس وفتاوى المسجد الحرام لعام 1402هـ - 12 — binothaimeen.net (1:07:27)
The Arabic text is a machine transcription of the audio recording.