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The image displays three tasks where you are asked to plot fractions on a number line. Here's how you can approach each one:

### A) Plot the fraction: \( \frac{22}{9} \)
- Convert \( \frac{22}{9} \) to a mixed number:
  \[
  \frac{22}{9} = 2 \frac{4}{9}
  \]
  This means the fraction lies between 2 and 3. On the number line, it should be plotted slightly less than halfway between 2 and 3 (since \( \frac{4}{9} \) is just under half of 9).

### B) Plot the fraction: \( \frac{21}{5} \)
- Convert \( \frac{21}{5} \) to a mixed number:
  \[
  \frac{21}{5} = 4 \frac{1}{5}
  \]
  This means the fraction is between 4 and 5. It should be plotted a bit past 4, closer to 4.2.

### C) Plot the fraction: \( \frac{5}{8} \)
- This fraction is less than 1. Specifically, it’s a little more than halfway between 0 and 1, because \( \frac{5}{8} \) is more than \( \frac{1}{2} \).

By plotting these points accurately on the number line, you can graph these fractions correctly.

Would you like further clarification on any of these points?

Here are 5 related questions to expand on this:
1. How do you convert improper fractions to mixed numbers?
2. What is the process for converting fractions to decimals for easier plotting?
3. How do you estimate fraction locations on a number line without converting them?
4. How do number lines help in visualizing fractions and their relative sizes?
5. How can you plot more complex fractions or mixed numbers on number lines?

**Tip:** To plot fractions precisely, it can be helpful to first convert them to decimals. For example, \( \frac{22}{9} \approx 2.44 \).

Plot the requested fraction on each number line: A) 22/9, B) 21/5, C) 5/8.

Learn how to plot the fractions 22/9, 21/5, and 5/8 on a number line. This problem covers key concepts like converting improper fractions to mixed numbers and estimating fraction values on a number line. Suitable for students in Grades 6-8.

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