The product of 1 2/3 and 1 1/4 is 2 1/12.
To multiply 1 2/3 by 1 1/4, convert both mixed numbers to improper fractions.
1 2/3 as an improper fraction is 5/3.
1 1/4 as an improper fraction is 5/4.
Multiply the numerators and denominators: (5/3) * (5/4) = 25/12.
The result, 25/12, as a mixed number is 2 1/12.
Therefore, 1 2/3 * 1 1/4 = 2 1/12.