25/2 simplified
Understand the Problem
The question is asking to simplify the fraction 25/2, which involves determining the simplest form or mixed number representation of the fraction.
Answer
The mixed number representing \( \frac{25}{2} \) is \( 12 \frac{1}{2} \).
Answer for screen readers
The simplified mixed number of the fraction ( \frac{25}{2} ) is ( 12 \frac{1}{2} ).
Steps to Solve
- Identifying the whole number part
To convert the improper fraction ( \frac{25}{2} ) to a mixed number, first, we need to divide the numerator by the denominator.
$$ 25 \div 2 = 12 \quad \text{(whole number part)}$$
- Finding the remainder
Next, we calculate the remainder from the division.
$$ 25 - (2 \times 12) = 25 - 24 = 1 \quad \text{(remainder)}$$
- Constructing the mixed number
Now we have the whole number part and the remainder. The mixed number can be formed by combining the whole number with the remainder over the original denominator.
$$ \frac{25}{2} = 12 \frac{1}{2} \quad \text{(mixed number)}$$
The simplified mixed number of the fraction ( \frac{25}{2} ) is ( 12 \frac{1}{2} ).
More Information
A mixed number consists of a whole number and a proper fraction. In this case, when ( \frac{25}{2} ) is simplified, we find that it is equivalent to ( 12 \frac{1}{2} ), which can also be useful in everyday contexts such as measurements.
Tips
- Dividing incorrectly: Ensure you divide the numerator by the denominator correctly to find the whole number part.
- Incorrectly calculating the remainder: Make sure to use ( \text{Remainder} = \text{Numerator} - (\text{Denominator} \times \text{Whole Number}) ).