`(679)/(45)div(23)/(2130)xx(126)/(169)=?`

Options

A. 540
B. 760
C. 800
D. 1040

Explanation

To solve the expression \((679)/(45) \div (23)/(2130) \times (126)/(169)\), we will follow a step-by-step approach, using approximations to simplify calculations.

### Step 1: Rewrite the Expression
We start by rewriting the expression for clarity:
\[ \frac{679}{45} \div \frac{23}{2130} \times \frac{126}{169} \]
This can be rewritten as:
\[ \frac{679}{45} \times \frac{2130}{23} \times \frac{126}{169} \]

### Step 2: Approximate the Values
To make calculations easier, we will approximate the values:
- \(679 \approx 680\)
- \(45\) remains \(45\)
- \(23\) remains \(23\)
- \(2130\) remains \(2130\)
- \(126\) remains \(126\)
- \(169\) remains \(169\)

### Step 3: Calculate \(\frac{680}{45}\)
Now, we calculate \(\frac{680}{45}\):
\[ \frac{680}{45} \approx 15.11 \quad (\text{since } 680 \div 45 \approx 15.11) \]

### Step 4: Calculate \(\frac{2130}{23}\)
Next, we calculate \(\frac{2130}{23}\):
\[ \frac{2130}{23} \approx 92.17 \quad (\text{since } 2130 \div 23 \approx 92.17) \]

### Step 5: Calculate \(\frac{126}{169}\)
Now, we calculate \(\frac{126}{169}\):
\[ \frac{126}{169} \approx 0.745 \quad (\text{since } 126 \div 169 \approx 0.745) \]

### Step 6: Combine the Results
Now, we combine all the results:
\[ 15.11 \times 92.17 \times 0.745 \]

### Step 7: Calculate the Final Result
Calculating step-by-step:
1. First, calculate \(15.11 \times 92.17\):
\[ 15.11 \times 92.17 \approx 1396.58 \]
2. Next, multiply by \(0.745\):
\[ 1396.58 \times 0.745 \approx 1040.00 \]

### Final Answer
Thus, the approximate value of the expression is:
\[ \approx 1040 \]