Multiply 1 2/3 by 6 1/2. Convert the answer to be a mixed number.

To multiply the numbers 1 2/3 and 6 1/2, we first need to convert them to improper fractions.

1 2/3 can be written as (3 * 1 + 2)/3 = 5/3
6 1/2 can be written as (2 * 6 + 1)/2 = 13/2

Next, we multiply the fractions:
(5/3) * (13/2) = (5 * 13) / (3 * 2) = 65/6

To convert this fraction to a mixed number, we divide the numerator (65) by the denominator (6):
65 ÷ 6 = 10 with a remainder of 5

Therefore, the mixed number is 10 5/6.