What is 6 1/3 + 2 2/9

To add these mixed numbers, we first need to convert them into improper fractions.

To convert 6 1/3 into an improper fraction:
6 * 3 = 18
18 + 1 = 19
19/3

To convert 2 2/9 into an improper fraction:
2 * 9 = 18
18 + 2 = 20
20/9

Now, we can add the fractions:
19/3 + 20/9

To add fractions, we need to find a common denominator. The least common multiple of 3 and 9 is 9.

19/3 = (19 * 3) / (3 * 3) = 57/9
20/9 (no need to change since the denominator is already 9)

Now, we can add the fractions:
57/9 + 20/9 = (57 + 20)/9 = 77/9

Therefore, 6 1/3 + 2 2/9 = 77/9

What is

2 1/9 - 8/9

To subtract these mixed numbers, we first need to convert them into improper fractions.

To convert 2 1/9 into an improper fraction:
2 * 9 = 18
18 + 1 = 19
19/9

Now, we can subtract the fractions:
19/9 - 8/9

Since the denominators are the same, we can subtract the numerators directly:
19 - 8 = 11

So, 2 1/9 - 8/9 = 11/9