To convert the improper fraction \( \frac{17}{3} \) into a mixed number, divide the numerator (17) by the denominator (3).
- Divide 17 by 3, which gives you 5 as the whole number since \( 3 \times 5 = 15 \).
- Next, subtract this product from the numerator: \( 17 - 15 = 2 \).
- The remainder becomes the numerator of the fractional part, while the denominator remains the same (3).
So, \( \frac{17}{3} \) can be expressed as the mixed number:
\[ 5 \frac{2}{3} \]
Thus, \( \frac{17}{3} = 5 \frac{2}{3} \).