The sun is a bit over eight light minutes from the earth. If it were one full light day away, it would be 1/365th of a light year. At 8.3 light minutes, it is only 1/63367th of a light year.
Minutes are a unit of time, not of distance. Perhaps you mean LIGHT minutes, which refer to the distance light travels in a minute. Earth is 1 AU from the sun, which takes light about 8 minutes and...