The moon lies roughly 384,000 km from earth and the sun lies 150,000,000 km away. if both have the same angular size, as seen from earth, how many times larger than the moon is the sun?

Moon diameter - 2,160 miles Sun diameter - 864,000 miles 
So, in terms of diameter the Sun is 400 times bigger then the Moon. If we divide 150,000,000 km by 384,000 km we get 390.625 almost the same number. 
The Sun and the Moon have sizes which vary a small amount as seen from Earth. 
The Sun appears largest about January 4th and smallest around July 4th.