Is it permissible for someone who has missed many prayers to make up for them day by day along with the current prayers, and is their prayer invalidated if they pray the current prayer before the missed one?

Prayer is a great pillar of Islam, and whoever abandons it or is negligent regarding it is threatened with severe punishment. Whoever misses an obligatory prayer until its time has passed must make it up. It is not permissible to limit oneself to making up only one missed prayer with each present obligatory prayer, unless making up more than that would cause harm. It is preferable to perform the فاتت (missed prayer) before the حاضرة (present prayer), but performing the حاضرة first does not invalidate it.