Rohit bought a pencil for Rs`35/(4)` and an eraser for Rs`52/(5)`. How much money should he pay to the shopkeeper?

Answer

To find out how much money Rohit should pay to the shopkeeper for the pencil and eraser, we need to add the costs of both items together.

### Step-by-Step Solution:

1. **Identify the costs of the pencil and eraser:**
- Cost of the pencil = Rs \( \frac{35}{4} \)
- Cost of the eraser = Rs \( \frac{52}{5} \)

2. **Add the two fractions:**
- We need to add \( \frac{35}{4} + \frac{52}{5} \).

3. **Find the Least Common Multiple (LCM) of the denominators:**
- The denominators are 4 and 5.
- The LCM of 4 and 5 is 20.

4. **Convert each fraction to have the same denominator:**
- For \( \frac{35}{4} \):
\[ \frac{35}{4} = \frac{35 \times 5}{4 \times 5} = \frac{175}{20} \]
- For \( \frac{52}{5} \):
\[ \frac{52}{5} = \frac{52 \times 4}{5 \times 4} = \frac{208}{20} \]

5. **Add the converted fractions:**
\[ \frac{175}{20} + \frac{208}{20} = \frac{175 + 208}{20} = \frac{383}{20} \]

6. **Convert the improper fraction to a mixed number:**
- Divide 383 by 20:
- 20 goes into 383, 19 times (since \( 20 \times 19 = 380 \)).
- The remainder is \( 383 - 380 = 3 \).
- Therefore, \( \frac{383}{20} = 19 \frac{3}{20} \).

7. **Final answer:**
- Rohit should pay Rs \( 19 \frac{3}{20} \) to the shopkeeper.