https://file.aiquickdraw.com/mathbot/file/172556611859576lezm4c.jpg

The image asks for the decimal expansion of the fraction \( \frac{4}{11} \).

To find the decimal expansion of \( \frac{4}{11} \), we divide 4 by 11:

\[
4 \div 11 = 0.363636\ldots
\]

This is a repeating decimal. The repeating block is "36", so we can express the decimal expansion as:

\[
\frac{4}{11} = 0.\overline{36}
\]

This means the digits "36" repeat indefinitely.

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. What is the decimal expansion of \( \frac{7}{11} \)?
2. How do you convert repeating decimals back to fractions?
3. What is the decimal expansion of \( \frac{5}{11} \)?
4. Can a repeating decimal ever terminate?
5. What are other methods to find decimal expansions?

**Tip:** To convert a repeating decimal back to a fraction, you can use algebra by setting up an equation and solving for the original value.

Discover the decimal expansion of the fraction 4/11 through long division. Learn how the repeating decimal 0.36... is formed, including key concepts and step-by-step solutions. Ideal for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation