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We're going to assume that the question is referring to the next Full Moon.

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

a period of 29.53 days. So the elapsed time from any phase to the next appearance

of the same phase is (29.53/27.32) = 1.081 orbits.

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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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