Answer :
To convert the improper fraction \( \frac{113}{235} \) into a mixed fraction, follow these steps:
1. **Divide the numerator by the denominator** to find the whole number part.
2. **Calculate the remainder** to find the fractional part.
3. **Write the mixed number** in the form of \( \text{whole number} \ \frac{\text{remainder}}{\text{denominator}} \).
### Step-by-Step Conversion
#### Step 1: Divide the numerator by the denominator
\[ 113 \div 235 \]
Since 113 is less than 235, the quotient is 0.
#### Step 2: Calculate the remainder
The remainder is 113 because \( 113 - (0 \times 235) = 113 \).
#### Step 3: Write the mixed number
Since the whole number part is 0 and the remainder is 113, the mixed number form of \( \frac{113}{235} \) is:
\[ 0 \ \frac{113}{235} \]
Thus, the improper fraction \( \frac{113}{235} \) can be written as the mixed fraction \( 0 \ \frac{113}{235} \). However, typically, the improper fraction remains the same if the numerator is smaller than the denominator, and the whole part is 0.
Therefore, the final mixed fraction form is:
\[ 0 \ \frac{113}{235} \]
