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The moon makes a complete orbit each 27.32 days, but the phases repeat with

a period of 29.53 days.

The elapsed time from New Moon until Third Quarter is (3/4 of 29.53) days, and that

period of time corresponds to

(3/4 x 29.53) / 27.32 = 0.811 of an orbit(rounded)

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Q: Assume that a new orbit begins at new moon What fraction of the way around its orbit is the moon in during the last quarter phase?
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