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

To multiply 1 2/3 by 6 1/2, we first need to convert the mixed numbers 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.

Now, multiply the two fractions: (5/3) * (13/2) = (5*13)/(3*2) = 65/6.

To convert the resulting fraction to a mixed number, divide the numerator (65) by the denominator (6).

65 ÷ 6 = 10 with a remainder of 5.

So, the mixed number representation of 65/6 is 10 5/6.