Must I break my fast or continue fasting after missing Suhoor and Fajr prayer?

The questioner is given glad tidings of Allah's guidance to Islam. One who slept through the Fajr prayer or did not have suhoor must complete the day's fast, as this is not considered a barrier to fasting. If one broke their fast, thinking that fasting was not obligatory, then they must make up that day after Ramadan.