2 1/7 : 4 1/3

To add these two mixed numbers together:

Convert 2 1/7 to an improper fraction:
2 1/7 = (2 * 7 + 1) / 7 = 15/7

Convert 4 1/3 to an improper fraction:
4 1/3 = (4 * 3 + 1) / 3 = 13/3

Add the two improper fractions:
15/7 + 13/3

Find a common denominator, which is 21:
15/7 = (15 3) / (7 3) = 45/21
13/3 = (13 7) / (3 7) = 91/21

Add the fractions:
45/21 + 91/21 = 136/21

Convert the improper fraction back to a mixed number:
136/21 = 6 10/21

Therefore, 2 1/7 + 4 1/3 = 6 10/21.