What approximate value will come in place of question mark (?) in the given equations?
20 × 52/260 × 45% of 360 = ?

Options

A. 530
B. 810
C. 256
D. 648

Answer

To solve the equation \( 20 \times \frac{52}{260} \times 45\% \text{ of } 360 = ? \), we will break it down step by step.

### Step 1: Simplify the fraction
First, simplify the fraction \( \frac{52}{260} \):
\[ \frac{52}{260} = \frac{52 \div 52}{260 \div 52} = \frac{1}{5} \]

**Hint:** To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

### Step 2: Rewrite the equation
Now we can rewrite the equation:
\[ 20 \times \frac{1}{5} \times 45\% \text{ of } 360 \]

### Step 3: Calculate \( 20 \times \frac{1}{5} \)
Next, calculate \( 20 \times \frac{1}{5} \):
\[ 20 \times \frac{1}{5} = 4 \]

**Hint:** Multiplying by a fraction can be thought of as dividing by the denominator.

### Step 4: Calculate \( 45\% \text{ of } 360 \)
Now, calculate \( 45\% \text{ of } 360 \):
\[ 45\% = \frac{45}{100} \quad \text{so} \quad \frac{45}{100} \times 360 \]
To simplify:
\[ \frac{45 \times 360}{100} = \frac{16200}{100} = 162 \]

**Hint:** To find a percentage of a number, multiply the number by the percentage expressed as a fraction.

### Step 5: Multiply the results
Now, we multiply the results from Step 3 and Step 4:
\[ 4 \times 162 = 648 \]

**Hint:** When multiplying two numbers, you can break them down into smaller parts to make calculations easier.

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{648} \]