Muwatta Imam Malik Book of Fasting, Hadith 49

Yahya related to me from Malik that Humayd ibn Oays al-Makki told him, "I was with Mujahid while he was performing tawaf around the Kaba, and a man came to him and asked whether the days (of fasting) for kaffara had to be fasted consecutively, or could they be split up. I said to him, 'Yes, they can be split up, if the person so wishes.' Mujahid said, 'He should not split them up, because in Ubayy ibn Kab's recitation they are referred to as three consecutive days.' "
Malik said, "What I like most is what Allah has specified in the Qur'an, that is, that they are fasted consecutively."
Malik was asked about a woman who began the day fasting in Ramadan and though it was outside of the time of her period, fresh blood (i.e. not menstrual blood) flowed from her. She then waited until evening to see the same, but did not see anything.Then, on the next day in the morning she had anotherflow, though less than the first. Then, some days before her period, the flow stopped completely. Malik was asked what she should do about her fasting and prayer, and he said, "This blood is like menstrual blood. When she sees it she should break her fast, and then make up the days she has missed. Then, when the blood has completely stopped, she should do ghusl and fast."
Malik was asked whether someone who became muslim on the last day of Ramadan had to make up all of Ramadan or whether he just had to make up the day when he became muslim, and he said, "He does not have to make up any of the days that have passed. He begins fasting from that day onwards. What I like most is that he makes up the day on which he became muslim."

وَحَدَّثَنِي عَنْ مَالِكٍ، عَنْ حُمَيْدِ بْنِ قَيْسٍ الْمَكِّيِّ، أَنَّهُ أَخْبَرَهُ قَالَ كُنْتُ مَعَ مُجَاهِدٍ وَهُوَ يَطُوفُ بِالْبَيْتِ فَجَاءَهُ إِنْسَانٌ فَسَأَلَهُ عَنْ صِيَامِ أَيَّامِ الْكَفَّارَةِ أَمُتَتَابِعَاتٍ أَمْ يَقْطَعُهَا قَالَ حُمَيْدٌ فَقُلْتُ لَهُ نَعَمْ يَقْطَعُهَا إِنْ شَاءَ . قَالَ مُجَاهِدٌ لاَ يَقْطَعُهَا فَإِنَّهَا فِي قِرَاءَةِ أُبَىِّ بْنِ كَعْبٍ ثَلاَثَةِ أَيَّامٍ مُتَتَابِعَاتٍ . قَالَ مَالِكٌ وَأَحَبُّ إِلَىَّ أَنْ يَكُونَ مَا سَمَّى اللَّهُ فِي الْقُرْآنِ يُصَامُ مُتَتَابِعًا . وَسُئِلَ مَالِكٌ عَنِ الْمَرْأَةِ تُصْبِحُ صَائِمَةً فِي رَمَضَانَ فَتَدْفَعُ دَفْعَةً مِنْ دَمٍ عَبِيطٍ فِي غَيْرِ أَوَانِ حَيْضِهَا ثُمَّ تَنْتَظِرُ حَتَّى تُمْسِيَ أَنْ تَرَى مِثْلَ ذَلِكَ فَلاَ تَرَى شَيْئًا ثُمَّ تُصْبِحُ يَوْمًا آخَرَ فَتَدْفَعُ دَفْعَةً أُخْرَى وَهِيَ دُونَ الأُولَى ثُمَّ يَنْقَطِعُ ذَلِكَ عَنْهَا قَبْلَ حَيْضَتِهَا بِأَيَّامٍ فَسُئِلَ مَالِكٌ كَيْفَ تَصْنَعُ فِي صِيَامِهَا وَصَلاَتِهَا قَالَ مَالِكٌ ذَلِكَ الدَّمُ مِنَ الْحَيْضَةِ فَإِذَا رَأَتْهُ فَلْتُفْطِرْ وَلْتَقْضِ مَا أَفْطَرَتْ فَإِذَا ذَهَبَ عَنْهَا الدَّمُ فَلْتَغْتَسِلْ وَتَصُومُ . وَسُئِلَ عَمَّنْ أَسْلَمَ فِي آخِرِ يَوْمٍ مِنْ رَمَضَانَ هَلْ عَلَيْهِ قَضَاءُ رَمَضَانَ كُلِّهِ أَوْ يَجِبُ عَلَيْهِ قَضَاءُ الْيَوْمِ الَّذِي أَسْلَمَ فِيهِ فَقَالَ لَيْسَ عَلَيْهِ قَضَاءُ مَا مَضَى وَإِنَّمَا يَسْتَأْنِفُ الصِّيَامَ فِيمَا يُسْتَقْبَلُ وَأَحَبُّ إِلَىَّ أَنْ يَقْضِيَ الْيَوْمَ الَّذِي أَسْلَمَ فِيهِ .