`9.09div(10)/(11)xx(0.96)/(3333)div(0.12)/(88)=?`

Options

A. `(640)/(303)`
B. `(32)/(1415)`
C. `(34)/(1515)`
D. `(36)/(1515)`

Explanation

To solve the expression \( \frac{9.09}{10} \div 11 \times \frac{0.96}{3333} \div 0.12 \div 88 \), we will simplify it step by step.

### Step 1: Rewrite the expression
We can rewrite the expression in a clearer format:
\[ \frac{9.09}{10} \div 11 \times \frac{0.96}{3333} \div 0.12 \div 88 \]

### Step 2: Simplify \( \frac{9.09}{10} \)
Calculating \( \frac{9.09}{10} \):
\[ \frac{9.09}{10} = 0.909 \]

### Step 3: Divide by 11
Now we divide \( 0.909 \) by \( 11 \):
\[ 0.909 \div 11 = \frac{0.909}{11} \approx 0.08263636 \]

### Step 4: Multiply by \( \frac{0.96}{3333} \)
Next, we multiply the result by \( \frac{0.96}{3333} \):
\[ 0.08263636 \times \frac{0.96}{3333} = \frac{0.08263636 \times 0.96}{3333} \]
Calculating \( 0.08263636 \times 0.96 \):
\[ 0.08263636 \times 0.96 \approx 0.07999999936 \]
Now divide by \( 3333 \):
\[ \frac{0.07999999936}{3333} \approx 0.000024 \]

### Step 5: Divide by \( 0.12 \)
Now we divide the result by \( 0.12 \):
\[ 0.000024 \div 0.12 = \frac{0.000024}{0.12} \approx 0.0002 \]

### Step 6: Divide by \( 88 \)
Finally, we divide by \( 88 \):
\[ 0.0002 \div 88 = \frac{0.0002}{88} \approx 0.000002272727 \]

### Final Result
Thus, the final result of the expression is approximately:
\[ \approx 0.000002272727 \]