One banana costs Rs. `5 (3)/(4)`. How many bananas can be bought for Rs. `97 (3)/(4)`?

Answer

To solve the problem of how many bananas can be bought for Rs. 97 (3/4) when one banana costs Rs. 5 (3/4), we will follow these steps:

### Step 1: Convert the mixed numbers to improper fractions

1. **Cost of one banana**:
- The cost is given as Rs. 5 (3/4).
- To convert this to an improper fraction:
\[ 5 \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4} \]

2. **Total money available**:
- The total money is given as Rs. 97 (3/4).
- To convert this to an improper fraction:
\[ 97 \frac{3}{4} = \frac{97 \times 4 + 3}{4} = \frac{388 + 3}{4} = \frac{391}{4} \]

### Step 2: Calculate the number of bananas

3. **Number of bananas**:
- To find the number of bananas that can be bought, divide the total money by the cost of one banana:
\[ \text{Number of bananas} = \frac{\text{Total money}}{\text{Cost of one banana}} = \frac{\frac{391}{4}}{\frac{23}{4}} \]

4. **Simplifying the division of fractions**:
- When dividing fractions, multiply by the reciprocal:
\[ = \frac{391}{4} \times \frac{4}{23} = \frac{391}{23} \]

5. **Perform the division**:
- Now, divide 391 by 23:
\[ 391 \div 23 = 17 \]

### Conclusion

Thus, the number of bananas that can be bought for Rs. 97 (3/4) is **17 bananas**.

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