Answer
(Fatwa: 594/554 =L1429)
If anything is stuck between the teeth that prevents water to reach therein, then it is necessary to take it out for obligatory ghusl (bath), otherwise ghusl will not be valid, but this is when taking out it is possible without so much difficulty. The braces fitted in your teeth and actual brackets glued to the middle of each tooth which are fixed, then if you make wudu and take a bath, your wudu and bath will be valid. With that wuzu and ghusl, you can offer salah, recite the Holy Quran, perform umarah and other prayers. And also, there is no qaza of the salah for the years the braces will remain therein.
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband