Which value is closest to [5.168 x 4453 x 3.194 /( 67.999 x 4224.017)]
A. 0.2
B. 0.002
C. 2
D. 0.02

Options

A. B
B. A
C. D
D. C

Answer

To solve the problem, we need to evaluate the expression:

\[ \frac{5.168 \times 4453 \times 3.194}{67.999 \times 4224.017} \]

Let's break this down step by step.

### Step 1: Calculate the numerator
First, we need to multiply the numbers in the numerator:

\[ 5.168 \times 4453 \times 3.194 \]

Calculating this step by step:

1. **Multiply 5.168 and 4453**:
\[ 5.168 \times 4453 \approx 23000.064 \]

2. **Now multiply the result by 3.194**:
\[ 23000.064 \times 3.194 \approx 73500.0 \]

So, the numerator is approximately **73500.0**.

### Step 2: Calculate the denominator
Next, we calculate the denominator:

\[ 67.999 \times 4224.017 \]

Calculating this step by step:

1. **Multiply 67.999 and 4224.017**:
\[ 67.999 \times 4224.017 \approx 286000.0 \]

So, the denominator is approximately **286000.0**.

### Step 3: Divide the numerator by the denominator
Now we divide the numerator by the denominator:

\[ \frac{73500.0}{286000.0} \]

Calculating this gives:

\[ \frac{73500.0}{286000.0} \approx 0.257 \]

### Step 4: Compare with the options
Now we need to find which of the given options is closest to **0.257**.

- Option A: 0.2
- Option B: 0.002
- Option C: 2
- Option D: 0.02

The closest value to **0.257** is **0.2**.

### Final Answer
Thus, the correct answer is **Option A: 0.2**.

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