Final answer:
To multiply 3 2/3 and 5 2/5, first convert them to improper fractions. Then, multiply the fractions and simplify if necessary.
Step-by-step explanation:
To multiply mixed numbers, you need to convert them into improper fractions first. The first mixed number, 3 2/3, can be converted to the improper fraction 11/3. The second mixed number, 5 2/5, can be converted to the improper fraction 27/5. Multiply these two fractions together: (11/3) * (27/5) = 297/15. To simplify this fraction, find the greatest common divisor (GCD) of 297 and 15, which is 3. Divide both numerator and denominator by 3 to get the simplified fraction: 297/15 ÷ 3/3 = 99/5.
Learn more about Multiplying mixed numbers