multiply 1 2/3 by 6 1/2 convert to 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, let's multiply the two fractions:
5/3 * 13/2 = (5*13)/(3*2) = 65/6.

To convert this improper fraction 65/6 back to a mixed number, we divide the numerator (65) by the denominator (6).
65 รท 6 = 10 remainder 5.

Therefore, the mixed number is 10 5/6.