A bundle of 500 sheets of paper has a net weight of 2 `3/10` kg. Find the weight of 1 sheet of paper.

Answer

To find the weight of one sheet of paper from a bundle of 500 sheets weighing 2 \( \frac{3}{10} \) kg, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction.
The weight of the bundle is given as \( 2 \frac{3}{10} \) kg. To convert this to an improper fraction:
- Multiply the whole number (2) by the denominator (10): \( 2 \times 10 = 20 \).
- Add the numerator (3) to this result: \( 20 + 3 = 23 \).
- Place this over the original denominator (10):
\[ 2 \frac{3}{10} = \frac{23}{10} \text{ kg} \]

### Step 2: Calculate the weight of one sheet of paper.
To find the weight of one sheet, we need to divide the total weight of the bundle by the number of sheets:
\[ \text{Weight of one sheet} = \frac{\text{Total weight}}{\text{Number of sheets}} = \frac{\frac{23}{10}}{500} \]

### Step 3: Simplify the division.
Dividing by a whole number is the same as multiplying by its reciprocal:
\[ \frac{\frac{23}{10}}{500} = \frac{23}{10} \times \frac{1}{500} = \frac{23 \times 1}{10 \times 500} = \frac{23}{5000} \]

### Step 4: Write the final answer.
Thus, the weight of one sheet of paper is:
\[ \frac{23}{5000} \text{ kg} \]

### Summary of the Solution:
The weight of one sheet of paper is \( \frac{23}{5000} \) kg.

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