Divide
9 `4/5 div3 (23)/(25)`

Answer

To solve the problem \( 9 \frac{4}{5} \div 3 \frac{23}{25} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

For \( 9 \frac{4}{5} \):
\[ 9 \frac{4}{5} = \frac{(9 \times 5) + 4}{5} = \frac{45 + 4}{5} = \frac{49}{5} \]

For \( 3 \frac{23}{25} \):
\[ 3 \frac{23}{25} = \frac{(3 \times 25) + 23}{25} = \frac{75 + 23}{25} = \frac{98}{25} \]

### Step 2: Set Up the Division of Fractions
Now we can rewrite the division of fractions:
\[ \frac{49}{5} \div \frac{98}{25} \]

### Step 3: Change Division to Multiplication
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{49}{5} \times \frac{25}{98} \]

### Step 4: Multiply the Fractions
Now we multiply the numerators and the denominators:
\[ \frac{49 \times 25}{5 \times 98} \]

### Step 5: Simplify the Expression
Now we can simplify:
1. \( 5 \) and \( 25 \): \( 5 \) goes into \( 25 \) five times.
2. \( 49 \) and \( 98 \): \( 49 \) goes into \( 98 \) two times.

So the expression simplifies to:
\[ \frac{49 \times 5}{1 \times 2} = \frac{245}{2} \]

### Step 6: Convert to Mixed Number (if needed)
Finally, we can convert \( \frac{245}{2} \) back to a mixed number:
\[ 245 \div 2 = 122 \text{ remainder } 1 \quad \Rightarrow \quad 122 \frac{1}{2} \]

Thus, the final answer is:
\[ \frac{245}{2} \text{ or } 122 \frac{1}{2} \]

### Final Answer
The answer is \( \frac{245}{2} \) or \( 122 \frac{1}{2} \).

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