Find the values of `(0.34 - 0.034)/(0.0034div34)`

Options

A. `0.306`
B. 306
C. 3060
D. `0.0306`

Answer

To solve the expression \((0.34 - 0.034) / (0.0034 \div 34)\), we will follow these steps:

### Step 1: Simplify the numerator
We start with the numerator:
\[ 0.34 - 0.034 \]
To perform the subtraction, we align the decimal points:
```
0.340
- 0.034
--------
0.306
```
So, the numerator simplifies to:
\[ 0.306 \]

### Step 2: Simplify the denominator
Next, we simplify the denominator:
\[ 0.0034 \div 34 \]
To divide, we can convert \(0.0034\) into a fraction:
\[ 0.0034 = \frac{34}{10000} \]
Now, we can perform the division:
\[ \frac{34}{10000} \div 34 = \frac{34}{10000} \times \frac{1}{34} = \frac{1}{10000} \]

### Step 3: Combine the results
Now we can substitute the simplified numerator and denominator back into the expression:
\[ \frac{0.306}{\frac{1}{10000}} = 0.306 \times 10000 \]

### Step 4: Calculate the final result
Now, we multiply:
\[ 0.306 \times 10000 = 3060 \]

### Final Answer
Thus, the final value of the expression \((0.34 - 0.034) / (0.0034 \div 34)\) is:
\[ \boxed{3060} \]

---