500 and 2/5 + 1/3

To add these two fractions, we need to find a common denominator. The denominators are 5 and 3. Their least common multiple (LCM) is 15.

500 and 2/5 can be written as an improper fraction: 500 + 2/5 = (500*5 + 2)/5 = 2502/5.

Now, let's find equivalent fractions for both fractions with the common denominator of 15.

2502/5 = (2502*3)/(5*3) = 7506/15

1/3 can be multiplied by 5/5 to have the same denominator:
1/3 * 5/5 = 5/15

Now, we can add the fractions:
7506/15 + 5/15 = (7506 + 5)/15 = 7511/15

Therefore, 500 and 2/5 + 1/3 = 7511/15.