`(137 + 17xx3.99)/(4.02xx3.98)`= ?

Options

A. a. 13.2
B. b. 12.5
C. c. 2.5
D. d. 2

Answer

To solve the problem \((137 + 17 \times 3.99)/(4.02 \times 3.98)\), we can use approximation for easier calculation. Here’s the step-by-step solution:

### Step 1: Approximate the values
- Approximate \(3.99\) to \(4\)
- Approximate \(4.02\) to \(4\)
- Approximate \(3.98\) to \(4\)

### Step 2: Rewrite the expression with approximations
Now we can rewrite the expression using these approximations:
\[ (137 + 17 \times 4)/(4 \times 4) \]

### Step 3: Calculate \(17 \times 4\)
Next, calculate \(17 \times 4\):
\[ 17 \times 4 = 68 \]

### Step 4: Substitute back into the expression
Now substitute this back into the expression:
\[ (137 + 68)/(4 \times 4) \]

### Step 5: Calculate \(4 \times 4\)
Calculate \(4 \times 4\):
\[ 4 \times 4 = 16 \]

### Step 6: Substitute and simplify the numerator
Now substitute this back into the expression:
\[ (137 + 68)/16 \]

### Step 7: Calculate \(137 + 68\)
Now calculate \(137 + 68\):
\[ 137 + 68 = 205 \]

### Step 8: Final calculation
Now we can perform the final division:
\[ 205/16 \]

### Step 9: Calculate \(205/16\)
Now divide \(205\) by \(16\):
\[ 205 \div 16 = 12.8125 \]

### Step 10: Approximate the final answer
Since we are looking for an approximate value, we can round \(12.8125\) to \(12.81\) or simply \(12.8\).

Thus, the final answer is approximately:
\[ \boxed{12.81} \]