Does performing prayers without ablution last Ramadan affect the validity of the fast, and what should be done now to make up for those prayers after repentance?

Prayer and fasting are two fundamental pillars of Islam, and prayer is the pillar of the religion, its status being higher than fasting. A worshiper's failure to meet one of the conditions of prayer (such as praying without ablution) does not affect the validity of their fast. Some scholars have stated that whoever prays while in a state of ritual impurity intentionally and without excuse commits an act of disbelief, and consequently their fast is invalidated. However, the majority of scholars hold that whoever prays without purification knowingly and intentionally commits a grave sin but does not commit an act of disbelief thereby, and this is the relied-upon opinion. Therefore, only the prayers must be made up, while the fast is valid and does not require قضية (repetition/making up).