To convert the improper fraction \( \frac{165}{20} \) into a mixed number, follow these steps:
-
Divide the numerator by the denominator: \[ 165 \div 20 = 8 \text{ (whole number part)} \] The remainder can be calculated as: \[ 165 - (20 \times 8) = 165 - 160 = 5 \]
-
Write the mixed number: The mixed number is formed by taking the whole number part and the remainder over the original denominator: \[ 8 \frac{5}{20} \]
-
Simplify the fraction if needed: The fraction \( \frac{5}{20} \) can be simplified to \( \frac{1}{4} \) because both the numerator and denominator can be divided by 5.
Therefore, the mixed number representation of \( \frac{165}{20} \) is: \[ 8 \frac{1}{4} \]