Final answer:
To multiply and reduce the mixed numbers 4 1/4 and 8 2/3, convert them into improper fractions and then multiply the fractions. Finally, reduce the resulting fraction to the lowest term.
Step-by-step explanation:
To multiply and reduce the fraction, first convert the mixed numbers to improper fractions. 4 1/4 becomes 17/4 and 8 2/3 becomes 26/3. To multiply fractions, you multiply the numerators together and the denominators together. So, 17/4 multiplied by 26/3 is (17 * 26) / (4 * 3) = 442/12. To reduce the fraction to the lowest term, divide both numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 442 and 12 is 2. So, 442/12 simplifies to 221/6.
Learn more about Multiplying mixed numbers