If `(51.84)/(4.32)=12` then the value of `(0.05184)/(0.432)` is

Options

A. `0.0012`
B. ` 0.12 `
C. `0.00012`
D. `0.012`

Answer

To solve the problem, we need to find the value of \( \frac{0.05184}{0.432} \) given that \( \frac{51.84}{4.32} = 12 \).

### Step-by-Step Solution:

1. **Understanding the given equation**:
We know that:
\[ \frac{51.84}{4.32} = 12 \]
This means that \( 51.84 = 12 \times 4.32 \).

2. **Removing the decimals**:
To simplify our calculations, we can remove the decimals from both the numerator and the denominator.
- \( 51.84 \) has 2 decimal places, so we can multiply it by \( 100 \) to get \( 5184 \).
- \( 4.32 \) also has 2 decimal places, so we can multiply it by \( 100 \) to get \( 432 \).

Thus, we can rewrite the equation as:
\[ \frac{5184}{432} = 12 \]

3. **Finding the value of \( \frac{0.05184}{0.432} \)**:
Now, we need to find \( \frac{0.05184}{0.432} \).
- \( 0.05184 \) has 5 decimal places, so we multiply it by \( 100000 \) to get \( 5184 \).
- \( 0.432 \) has 3 decimal places, so we multiply it by \( 1000 \) to get \( 432 \).

Therefore, we can rewrite the expression as:
\[ \frac{5184}{432} \times \frac{1}{100} = \frac{5184}{432} \div 100 \]

4. **Using the known value**:
From step 2, we know that \( \frac{5184}{432} = 12 \). Thus:
\[ \frac{0.05184}{0.432} = 12 \div 100 = 0.12 \]

5. **Final answer**:
Therefore, the value of \( \frac{0.05184}{0.432} \) is:
\[ \boxed{0.12} \]