If the cost of a notebook is Rs `27 3/4` , how many notebooks can be purchased for Rs `249 3/4` ?

Answer

To solve the problem of how many notebooks can be purchased for Rs. 249 3/4 when each notebook costs Rs. 27 3/4, we will follow these steps:

### Step 1: Convert the mixed numbers to improper fractions
- The cost of one notebook is Rs. 27 3/4.
- To convert it to an improper fraction:
\[ 27 \frac{3}{4} = \frac{27 \times 4 + 3}{4} = \frac{108 + 3}{4} = \frac{111}{4} \]

- The total amount available is Rs. 249 3/4.
- To convert it to an improper fraction:
\[ 249 \frac{3}{4} = \frac{249 \times 4 + 3}{4} = \frac{996 + 3}{4} = \frac{999}{4} \]

### Step 2: Set up the division to find the number of notebooks
- We need to divide the total amount by the cost of one notebook:
\[ \text{Number of notebooks} = \frac{\text{Total amount}}{\text{Cost of one notebook}} = \frac{\frac{999}{4}}{\frac{111}{4}} \]

### Step 3: Simplify the division of fractions
- When dividing fractions, we multiply by the reciprocal:
\[ \frac{\frac{999}{4}}{\frac{111}{4}} = \frac{999}{4} \times \frac{4}{111} = \frac{999}{111} \]

### Step 4: Perform the division
- Now we divide 999 by 111:
\[ 999 \div 111 = 9 \]

### Conclusion
- Therefore, the number of notebooks that can be purchased for Rs. 249 3/4 is **9 notebooks**.

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