If 4137 `div` 1.75 = 2364 , then 41.37 `div` 17.5 is equal to

Options

A. 0.2364
B. 2.364
C. 23.64
D. 236.4

Answer

To solve the problem, we can follow these steps:

**Step 1: Understand the given information**
We know that \( 4137 \div 1.75 = 2364 \).

**Step 2: Relate the two divisions**
We want to find out what \( 41.37 \div 17.5 \) is equal to. Notice that \( 41.37 \) is \( 4137 \div 100 \) and \( 17.5 \) is \( 1.75 \times 10 \).

**Step 3: Rewrite the division**
We can express \( 41.37 \div 17.5 \) as:
\[ 41.37 \div 17.5 = \left(\frac{4137}{100}\right) \div (1.75 \times 10) \]

**Step 4: Simplify the expression**
This can be rewritten as:
\[ = \frac{4137}{100} \div (1.75 \times 10) = \frac{4137}{100} \times \frac{1}{1.75 \times 10} \]

**Step 5: Combine the fractions**
This can be further simplified to:
\[ = \frac{4137}{1.75 \times 1000} \]

**Step 6: Substitute the known value**
Since we know that \( 4137 \div 1.75 = 2364 \), we can substitute this value:
\[ = \frac{2364}{1000} \]

**Step 7: Calculate the final result**
Now, we can calculate:
\[ = 2.364 \]

Thus, \( 41.37 \div 17.5 = 2.364 \).

### Final Answer:
\( 41.37 \div 17.5 = 2.364 \)

---