`170xx14div181=?`

Options

A. 3
B. 13
C. 33
D. 53

Explanation

To solve the problem \( 170 \times \frac{14}{181} \), we will use approximation to simplify our calculations. Here’s a step-by-step breakdown:

### Step 1: Understand the Problem
We need to calculate \( 170 \times \frac{14}{181} \). The division \( \frac{14}{181} \) is not straightforward, so we will approximate \( 181 \) to make the calculation easier.

**Hint:** Look for a nearby number that is easier to work with for division.

### Step 2: Approximate the Denominator
We can approximate \( 181 \) to \( 182 \) because it is close and makes calculations easier.

**Hint:** Choose a number that is slightly larger than the original for easier division.

### Step 3: Calculate the Approximate Division
Now we calculate \( \frac{14}{182} \). We can simplify this:
\[ \frac{14}{182} = \frac{14 \div 14}{182 \div 14} = \frac{1}{13} \]

**Hint:** Simplifying fractions can make calculations much easier.

### Step 4: Substitute Back into the Equation
Now we substitute back into our original equation:
\[ 170 \times \frac{1}{13} \]

**Hint:** When multiplying by a fraction, think of it as dividing by the denominator.

### Step 5: Calculate the Final Result
Now we can calculate:
\[ 170 \div 13 \approx 13 \]
This is because \( 13 \times 13 = 169 \), which is very close to \( 170 \).

**Hint:** Use multiplication tables or quick mental math to estimate divisions.

### Conclusion
Thus, the approximate value of \( 170 \times \frac{14}{181} \) is about \( 13 \).

**Final Answer:** \( \approx 13 \)