Printable 3rd Grade Fractions on a Number Line Worksheets ... - Free Printable

Problem Analysis:

The task involves identifying fractions on a number line. The number line is divided into three equal sections, and we are given that the fractions represented by the divisions are \( \frac{1}{3} \) and \( \frac{2}{3} \). We need to determine the missing fractions for each labeled point on the number lines provided.

Step-by-Step Solution:

#### Number Line 1:
- The number line is divided into three equal sections.
- The first division represents \( \frac{1}{3} \).
- The second division represents \( \frac{2}{3} \).
- The third division (the far right) represents \( 1 \) (or \( \frac{3}{3} \)).

The point in question is at the first division. Therefore, the fraction is:
\[
\boxed{\frac{1}{3}}
\]

#### Number Line 2:
- The number line is divided into three equal sections.
- The first division represents \( \frac{1}{3} \).
- The second division represents \( \frac{2}{3} \).
- The third division (the far right) represents \( 1 \).

The point in question is at the second division. Therefore, the fraction is:
\[
\boxed{\frac{2}{3}}
\]

#### Number Line 3:
- The number line is divided into three equal sections.
- The first division represents \( \frac{1}{3} \).
- The second division represents \( \frac{2}{3} \).
- The third division (the far right) represents \( 1 \).

The point in question is at the third division. Therefore, the fraction is:
\[
\boxed{1}
\]

#### Number Line 4:
- The number line is divided into three equal sections.
- The first division represents \( \frac{1}{3} \).
- The second division represents \( \frac{2}{3} \).
- The third division (the far right) represents \( 1 \).

The point in question is at the starting point (far left). Therefore, the fraction is:
\[
\boxed{0}
\]

Final Answers:

1. \(\boxed{\frac{1}{3}}\)
2. \(\boxed{\frac{2}{3}}\)
3. \(\boxed{1}\)
4. \(\boxed{0}\)

Explanation:

Each number line is divided into three equal parts, representing the fractions \( \frac{1}{3} \), \( \frac{2}{3} \), and \( 1 \). By identifying the position of the marked point relative to these divisions, we can determine the corresponding fraction. The points at the beginning, first division, second division, and end of the number line correspond to \( 0 \), \( \frac{1}{3} \), \( \frac{2}{3} \), and \( 1 \), respectively.