It's always the same moon, but the shape of the visible lighted portion changes.
Whatever shape of the moon you see right now, you'll see the same shape again
after 29.53 days have passed.
Whatever moon phase you're looking at, it was the same 29.53 days ago, and it'll be the same again after another 29.53 days.
28 days (a little bit more accurately) It is always the same moon :) but it takes 27.3 days to orbit the earth and return to the same position.
A "Moon year" is almost exactly the same as an Earth year. That's about 365 Earth days. The Earth and Moon orbit the Sun in about 365.25 Earth days. So the answer is: about 365. If you mean how many "Moon days" in one Moon year, that's different. The Moon rotates in about 27.3 Earth days. That's one definition of a "Moon day". In that case the answer is about 365/27.3 days = about 13.37 days.
The full cycle of the moon's phases, from the occurrence of any one of them until the next occurence of the same one, runs 29.53 days.
It takes 27.3 days for the Moon to revolve around the Earth, and the same amount of time to rotate on its axis.
They are in the same orbit
If a "day" is the time from one sunrise to the next, then on the moon, that's roughly 29 earth days.
The moon rotates on its axis once each 27.32 days. Also, the time it takes to complete one orbital revolution around the Earth is exactly the same as its rotation period. That's why the "face" of the moon visible from Earth is always the same.
As the Moon revolves around the Earth, the time taken to revolve around the Sun is the same as the Earth ~365.25 days or one year.
The moon does not circle the sun directly, it circles the earth. so it would be approximately the same as how long the earth takes, about 365 days.
The complete cycle of the moon's 'phases' ... the time to go from any shapeto the next appearance of the same shape ... averages 29.531 days.
As the Moon revolves around the Earth, the time taken to revolve around the Sun is the same as the Earth ~365.25 days or one year.