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From MormonWiki

Fast Sunday is a day set aside for members to fast. This usually occurs on the first Sunday of the month. While members can fast on other days, having a Fast Sunday, provides an opportunity for members of a ward to feel the collective spirituality that comes from fasting together. As part of this, sacrament meeting does not have any planned speakers, but rather church members from the audience are encouraged to come up and bear their testimonies. This is known as Fast and Testimony Meeting.