Final answer:
To reduce the fraction 64/14 and express it as a mixed number, divide both the numerator and denominator by their greatest common factor, which is 2, resulting in 32/7. Then, convert this improper fraction into the mixed number 4 4/7.
Step-by-step explanation:
To reduce the fraction 64/14 and express the result as a mixed number, you first need to see if the numerator and denominator have any common factors that can be divided out. In this case, both numbers are divisible by 2. So dividing the numerator and denominator by 2, we get 32/7.
Now, we convert the improper fraction 32/7 into a mixed number. A mixed number consists of a whole number and a proper fraction. Since 7 goes into 32 four times with a remainder of 4, we can express this as 4 4/7. So, the reduced mixed number form of 64/14 is 4 4/7.