10 1/2 + 6 2/3
A.16 1/3
B.16 1/4
C.16 1/5
D.16 3/4
To add these fractions, we need to find a common denominator. The least common multiple of 2 and 3 is 6.
10 1/2 = 10 * 2/2 + 1/2 = 20/2 + 1/2 = 21/2
6 2/3 = 6 * 2/2 + 2/3 = 12/6 + 2/3 = 14/3
Now, add them: 21/2 + 14/3
Convert 21/2 to an equivalent fraction with denominator 6:
21/2 = 21 * 3/2 * 3 = 63/6
Now, add the two fractions:
63/6 + 14/3 = (63 + 28)/6 = 91/6
So, 10 1/2 + 6 2/3 = 16 1/6
Therefore, the correct answer is A. 16 1/3.