Let's clarify the division and the simplification for the fraction \( \frac{125}{4} \).
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Calculating the mixed number:
- When you divide 125 by 4, you get \( 31 \) with a remainder. Specifically: \[ 125 \div 4 = 31 \quad \text{(since } 4 \times 31 = 124 \text{)} \]
- The remainder is \( 1 \) (because \( 125 - 124 = 1 \)).
- Therefore, \( 125/4 \) can be expressed as a mixed number: \[ 31 \frac{1}{4} \]
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Simplifying the fraction:
- The fraction \( \frac{125}{4} \) is already in simplest form because 125 and 4 have no common factors other than 1.
In summary, both \( \frac{125}{4} \) and \( 31 \frac{1}{4} \) refer to the same value. The fraction \( \frac{125}{4} \) is indeed in simplest form.