Which one of the following is the best approximation of
`(7.1xx3.85)/(9.09)=?`

Options

A. `(7xx3)/(10)`
B. `(7xx3)/(9)`
C. `(7xx4)/(9)`
D. `(7xx4)/(10)`

Explanation

To solve the problem of finding the best approximation of \((7.1 \times 3.85) / 9.09\), we can follow these steps:

### Step 1: Approximate the numbers
We will round each number to a simpler form for easier calculation.

- **7.1** can be approximated to **7** (since it is closer to 7 than to 8).
- **3.85** can be approximated to **4** (since it is closer to 4 than to 3).
- **9.09** can be approximated to **9** (since it is closer to 9 than to 10).

### Step 2: Substitute the approximated values
Now we substitute the approximated values into the expression:

\[ \frac{(7 \times 4)}{9} \]

### Step 3: Calculate the numerator
Now, we calculate the numerator:

\[ 7 \times 4 = 28 \]

### Step 4: Divide by the denominator
Next, we divide the result by the approximated denominator:

\[ \frac{28}{9} \approx 3.11 \]

### Step 5: Conclusion
Thus, the best approximation of \((7.1 \times 3.85) / 9.09\) is approximately **3.11**.