2 5/6 + 1 1/9
a
3 6/15
b
3 2/5
c
3 2/3
d
3 17/18
To add the fractions, we need to convert the mixed numbers into improper fractions.
2 5/6 = (2 * 6 + 5)/6 = 17/6
1 1/9 = (1 * 9 + 1)/9 = 10/9
Now, we add the fractions:
17/6 + 10/9
To add fractions, we need to find a common denominator. The common denominator for 6 and 9 is 18.
So, let's convert the fractions:
17/6 = (17 * 3)/(6 * 3) = 51/18
10/9 = (10 * 2)/(9 * 2) = 20/18
Now, we can add the fractions:
51/18 + 20/18 = 71/18
Therefore, the answer is d) 3 17/18.