Final answer:
6 multiplied by 3/5 is 18/5, which simplifies to the mixed number 3 3/5 after dividing 18 by 5 and noting the remainder.
Step-by-step explanation:
The student is required to multiply 6 by 3/5 and simplify the answer to a mixed number. When multiplying fractions, we multiply the numerators and multiply the denominators. Here, since 6 can be considered as 6/1, we multiply 6 (the numerator) by 3 (the numerator of the second fraction), and 1 (the denominator of the first fraction, which represents 6 as a fraction) by 5 (the denominator of the second fraction).
Multiplying 6 and 3 gives us 18, and multiplying 1 and 5 gives us 5. So the multiplication of 6 and 3/5 results in 18/5. To convert this improper fraction to a mixed number, we divide 18 by 5 which equals 3 with a remainder of 3. This gives us the mixed number 3 3/5.