Identify the Fractions on Number Lines worksheet for math practice.

Problem Overview:

The task involves two parts:
1. Drawing points on number lines to represent given fractions.
2. Identifying the fractions marked on given number lines.

Let's solve each part step by step.

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Part 1: Draw a point on the number line to show the given fraction.

#### Question 1: \( \frac{1}{2} \)
- The number line is divided into 2 equal parts between 0 and 1.
- The fraction \( \frac{1}{2} \) represents the midpoint of the number line.
- Solution: Draw a point exactly in the middle of the number line.

#### Question 2: \( \frac{3}{4} \)
- The number line is divided into 4 equal parts between 0 and 1.
- The fraction \( \frac{3}{4} \) represents the third division from 0.
- Solution: Draw a point at the third division from 0.

#### Question 3: \( \frac{1}{3} \)
- The number line is divided into 3 equal parts between 0 and 1.
- The fraction \( \frac{1}{3} \) represents the first division from 0.
- Solution: Draw a point at the first division from 0.

#### Question 4: \( \frac{2}{5} \)
- The number line is divided into 5 equal parts between 0 and 1.
- The fraction \( \frac{2}{5} \) represents the second division from 0.
- Solution: Draw a point at the second division from 0.

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Part 2: Write the fraction marked on each number line.

#### Question 5:
- The number line is divided into 5 equal parts.
- The point is marked at the fourth division from 0.
- This corresponds to \( \frac{4}{5} \).
- Solution: \( \frac{4}{5} \)

#### Question 6:
- The number line is divided into 6 equal parts.
- The point is marked at the third division from 0.
- This corresponds to \( \frac{3}{6} \), which simplifies to \( \frac{1}{2} \).
- Solution: \( \frac{1}{2} \)

#### Question 7:
- The number line is divided into 3 equal parts.
- The point is marked at the first division from 0.
- This corresponds to \( \frac{1}{3} \).
- Solution: \( \frac{1}{3} \)

#### Question 8:
- The number line is divided into 5 equal parts.
- The point is marked at the third division from 0.
- This corresponds to \( \frac{3}{5} \).
- Solution: \( \frac{3}{5} \)

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Final Answers:

1. Draw a point at the midpoint of the number line.
2. Draw a point at the third division from 0 (out of 4).
3. Draw a point at the first division from 0 (out of 3).
4. Draw a point at the second division from 0 (out of 5).
5. \( \boxed{\frac{4}{5}} \)
6. \( \boxed{\frac{1}{2}} \)
7. \( \boxed{\frac{1}{3}} \)
8. \( \boxed{\frac{3}{5}} \)

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Explanation:

- For drawing points, divide the number line into equal parts based on the denominator of the fraction and mark the appropriate division.
- For identifying fractions, count the total number of divisions (denominator) and the position of the marked point (numerator).

Final Answer Boxed:
\[
\boxed{\frac{4}{5}, \frac{1}{2}, \frac{1}{3}, \frac{3}{5}}
\]