If `(51.84)/(4.32)=12` then the value of `(0.005184)/(4.32)` is

Options

A. `0.12`
B. `0.012`
C. `0.0012`
D. `1.2`

Answer

To solve the problem, we need to find the value of \((0.005184)/(4.32)\) given that \((51.84)/(4.32) = 12\).

### Step-by-Step Solution:

1. **Understand the relationship between the two fractions**:
We know that \((51.84)/(4.32) = 12\). This means that the numerator \(51.84\) can be expressed in terms of \(4.32\) multiplied by \(12\).

2. **Express \(51.84\) in terms of \(0.005184\)**:
Notice that \(0.005184\) is \(51.84\) divided by \(10^4\) (or \(10000\)). This means:
\[ 0.005184 = \frac{51.84}{10000} \]

3. **Set up the new fraction**:
We can rewrite \((0.005184)/(4.32)\) as:
\[ \frac{0.005184}{4.32} = \frac{\frac{51.84}{10000}}{4.32} \]

4. **Simplify the fraction**:
This can be simplified to:
\[ \frac{51.84}{4.32 \times 10000} \]

5. **Use the known value**:
Since we know that \(\frac{51.84}{4.32} = 12\), we can substitute this into our equation:
\[ \frac{51.84}{4.32 \times 10000} = \frac{12}{10000} \]

6. **Calculate the final value**:
Now, we can simplify this to:
\[ \frac{12}{10000} = 0.0012 \]

Thus, the value of \((0.005184)/(4.32)\) is \(0.0012\).

### Final Answer:
\[ \text{The value of } \frac{0.005184}{4.32} \text{ is } 0.0012. \]