Let's solve the division \( 17 \div 18 \) in detail.

### Step 1: Understanding the Division
When you divide 17 by 18, you're finding out how many times 18 fits into 17. Since 17 is less than 18, the result will be a decimal number less than 1.

### Step 2: Express as a Fraction
The division \( 17 \div 18 \) can be written as the fraction:

\[
\frac{17}{18}
\]

### Step 3: Convert the Fraction to a Decimal
To convert \( \frac{17}{18} \) into a decimal, you perform the division:

1. **Long Division:**
   - Divide 17 by 18. Since 17 is smaller than 18, we add a decimal point and zeros to continue the division.
   - 18 goes into 170 (17.0) nine times (because \( 18 \times 9 = 162 \)).
   - Subtract 162 from 170 to get a remainder of 8.
   - Bring down a 0 to make it 80.
   - 18 goes into 80 four times (because \( 18 \times 4 = 72 \)).
   - Subtract 72 from 80 to get a remainder of 8 again.
   - The process repeats, meaning the decimal part is repeating.

2. **Resulting Decimal:**
   - The result is a repeating decimal: \( 0.9444\ldots \) (the 4 repeats indefinitely).

So, the final answer is:

\[
\frac{17}{18} = 0.9444\ldots
\]

### Step 4: Expressing as a Rounded Decimal
If you need a rounded decimal, you can round \( 0.9444\ldots \) to a desired number of decimal places. For example:
- To 2 decimal places: \( 0.94 \)
- To 3 decimal places: \( 0.944 \)
- To 4 decimal places: \( 0.9444 \)

### Step 5: Fraction in Simplest Form
The fraction \( \frac{17}{18} \) is already in its simplest form since 17 and 18 have no common factors other than 1.

### Conclusion
The division \( 17 \div 18 \) gives:

- **Exact Fraction:** \( \frac{17}{18} \)
- **Decimal (Rounded to 4 Decimal Places):** \( 0.9444 \)
- **Repeating Decimal:** \( 0.9444\ldots \)

Would you like to explore more details, or do you have any further questions?

Here are some related questions you might find interesting:
1. How do you perform long division with decimals?
2. How do you identify repeating decimals?
3. What is the decimal form of \( \frac{7}{8} \)?
4. How do you convert a repeating decimal back into a fraction?
5. What is \( \frac{19}{20} \) as a decimal?
6. How do you round a decimal to the nearest thousandth?
7. What is the remainder when dividing 17 by 18?
8. How do you express 0.9444 as a percentage?

**Tip:** Understanding the long division method helps in accurately converting fractions to decimals, especially when dealing with repeating decimals.

Explore a detailed solution for the division problem 17 divided by 18. Learn how to convert the fraction \( \frac{17}{18} \) into a decimal, including the steps for long division and rounding to four decimal places. Suitable for students in Grades 5-8.

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