Whal will come in place of questron mark(?) in the following questions?
`4/7xx?xx2646=1008`

Options

A. `1/3`
B. `1/2`
C. `2/3`
D. `3/4`

Answer

To solve the equation \( \frac{4}{7} \times ? \times 2646 = 1008 \), we will follow these steps:

### Step 1: Set up the equation
Let \( x \) represent the value of the question mark. The equation can be rewritten as:
\[ \frac{4}{7} \times x \times 2646 = 1008 \]

### Step 2: Isolate \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( \frac{7}{4} \):
\[ x \times 2646 = 1008 \times \frac{7}{4} \]

### Step 3: Calculate \( 1008 \times \frac{7}{4} \)
First, calculate \( 1008 \times 7 \):
\[ 1008 \times 7 = 7056 \]
Now, divide \( 7056 \) by \( 4 \):
\[ \frac{7056}{4} = 1764 \]
So, we have:
\[ x \times 2646 = 1764 \]

### Step 4: Solve for \( x \)
Now, divide both sides by \( 2646 \):
\[ x = \frac{1764}{2646} \]

### Step 5: Simplify \( \frac{1764}{2646} \)
To simplify \( \frac{1764}{2646} \), we can find the greatest common divisor (GCD) of \( 1764 \) and \( 2646 \).

Using the Euclidean algorithm:
- \( 2646 - 1764 = 882 \)
- \( 1764 - 2 \times 882 = 0 \)

Thus, the GCD is \( 882 \). Now, divide both the numerator and denominator by \( 882 \):
\[ \frac{1764 \div 882}{2646 \div 882} = \frac{2}{3} \]

### Conclusion
Thus, the value of \( x \) is \( \frac{2}{3} \). Therefore, the answer that comes in place of the question mark is:
\[ \boxed{\frac{2}{3}} \]