https://file.aiquickdraw.com/mathbot/file/1726403235097araejxu7.jpg

The problem in the image asks to express \( \frac{120}{11} \) in decimal form and identify the type of decimal expansion.

### Step 1: Perform the Division

We will divide 120 by 11:
\[
120 \div 11 = 10.9090909090909\ldots
\]

### Step 2: Identify the Kind of Decimal Expansion

The result of \( \frac{120}{11} \) is **10.90** followed by repeating "90". This is a **repeating decimal** because the digits "90" repeat infinitely.

### Final Answer:

- \( \frac{120}{11} = 10.\overline{90} \)
- The kind of decimal expansion is **repeating** or **recurring decimal**.

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Would you like further details on this process or have any questions?

Here are five related questions you might find useful:
1. How do you express \( \frac{49}{6} \) in decimal form?
2. What is the decimal form of \( \frac{25}{9} \), and is it repeating or terminating?
3. How do you know if a fraction will have a repeating or terminating decimal?
4. Can you convert \( 1.\overline{6} \) into a fraction?
5. What is the connection between rational numbers and repeating decimals?

**Tip**: A fraction will have a repeating decimal if its denominator (in lowest terms) contains prime factors other than 2 or 5.

Express 120/11 in decimal form. Also write the kind of decimal expansion.

Learn how to express 120/11 in decimal form using long division. The result is a repeating decimal (10.90...), and this problem demonstrates how to identify repeating decimal expansions. Suitable for students in Grades 6-8.

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