To simplify the mixed fraction 49 and one half, you can convert it into an improper fraction.
- Start with the whole number part: 49.
- Since "one half" is the fractional part, it can be expressed as \( \frac{1}{2} \).
- To convert the whole number to a fraction, we write 49 as \( \frac{49 \times 2}{2} = \frac{98}{2} \).
- Add the fractional part:
\[ \frac{98}{2} + \frac{1}{2} = \frac{98 + 1}{2} = \frac{99}{2}. \]
Thus, the mixed fraction 49 and one half simplifies to the improper fraction \( \frac{99}{2} \).