Questions: Question 3, 5.3.23 Change the following improper fraction to a mixed number or a whole number 221/27 = (Simplify your answer. Type a whole number, proper fraction, or mixed number

Solution Steps

To convert an improper fraction to a mixed number, divide the numerator by the denominator to get the whole number part. The remainder becomes the numerator of the proper fraction, with the original denominator.

To convert the improper fraction \( \frac{221}{27} \) to a mixed number, we first perform the division of the numerator by the denominator: \[ 221 \div 27 = 8 \quad \text{(whole number part)} \]

Next, we calculate the remainder of the division: \[ 221 \mod 27 = 5 \quad \text{(remainder)} \]

Now, we can express the improper fraction as a mixed number. The whole number part is \( 8 \) and the proper fraction part is \( \frac{5}{27} \). Therefore, we write: \[ \frac{221}{27} = 8 \frac{5}{27} \]

Final Answer