`(210)/(14)xx(17)/(15)xx? = 40 46`

Options

A. 202
B. 218
C. 233
D. None of these

Explanation

To solve the equation \(\frac{210}{14} \times \frac{17}{15} \times ? = 4046\), we will follow these steps:

### Step 1: Simplify the left side of the equation
First, we need to simplify the left side of the equation. We will start by calculating \(\frac{210}{14}\).

\[ \frac{210}{14} = 15 \]

**Hint:** Divide 210 by 14 to find the first part of the equation.

### Step 2: Calculate the product of the fractions
Next, we will calculate \(\frac{17}{15}\).

\[ \frac{17}{15} = 1.1333 \text{ (approximately)} \]

Now we can substitute this back into our equation:

\[ 15 \times \frac{17}{15} \times ? = 4046 \]

**Hint:** Remember that multiplying by \(\frac{17}{15}\) will simplify with the 15.

### Step 3: Cancel out the 15
Since we have \(15\) in the numerator and denominator, they cancel each other out:

\[ ? = 4046 \]

**Hint:** When you have the same number in the numerator and denominator, they cancel each other out.

### Step 4: Solve for the question mark
Now we can isolate the question mark:

\[ ? = 4046 \]

**Hint:** The question mark represents the value we are trying to find, which is equal to the right side of the equation.

### Step 5: Final calculation
To ensure we have the correct answer, we can check our work by substituting back into the original equation:

\[ \frac{210}{14} \times \frac{17}{15} \times 4046 = 4046 \]

This confirms our solution is correct.

**Final Answer:** The value of the question mark is \(4046\).