Final answer:
To multiply and simplify the mixed numbers 3 1/3 and 2 3/4, first convert them to improper fractions. Then, multiply the numerators and denominators, simplify the resulting fraction, and convert it back to a mixed number.
Step-by-step explanation:
To multiply and simplify the mixed numbers 3 1/3 and 2 3/4, we first convert them to improper fractions. 3 1/3 can be written as 10/3 and 2 3/4 can be written as 11/4. Then, we multiply the numerators together (10 * 11 = 110) and the denominators together (3 * 4 = 12). Finally, we simplify the resulting fraction, 110/12. Dividing both the numerator and denominator by their common factor of 2, we get 55/6. This fraction can be simplified further to the mixed number 9 1/6. So, 3 1/3 x 2 3/4 = 9 1/6.