Matching Fractions on a Number Line Worksheet - Free Printable

Final Answer:
1. ● → ½
2. ● → ⅖
3. ● → ⅓
4. ● → ⅔
5. ● → ¾
6. ● → ⅘
7. ● → ½

Wait — let’s carefully match each number line to the correct fraction by counting equal parts and seeing where the dot is.

We have 7 number lines (0 to 1), each divided into equal segments. The black dot shows a point between 0 and 1. We need to match each to one of these fractions:
½, ⅖, ⅚, ⅔, ¾, ⅘, ⅓

Let’s analyze each line:

1. First line: 0 to 1 divided into 4 equal parts (3 tick marks between 0 and 1). Dot is at the 2nd tick → 2/4 = ½

2. Second line: 0 to 1 divided into 5 equal parts (4 tick marks). Dot is at the 2nd tick → ⅖

3. Third line: 0 to 1 divided into 3 equal parts (2 tick marks). Dot is at the 1st tick → ⅓

4. Fourth line: 0 to 1 divided into 3 equal parts. Dot is at the 2nd tick → ⅔

5. Fifth line: 0 to 1 divided into 4 equal parts. Dot is at the 3rd tick → ¾

6. Sixth line: 0 to 1 divided into 5 equal parts. Dot is at the 4th tick → ⅘

7. Seventh line: 0 to 1 divided into 6 equal parts (5 tick marks). Dot is at the 3rd tick → 3/6 = ½ — but we already used ½!

Wait — that can’t be. Let’s double-check the image description.

Actually, looking again: There are 7 number lines, and 7 fractions listed on the right:
½, ⅖, ⅚, ⅔, ¾, ⅘, ⅓

So each must be used once.

Let’s reassign carefully:

Line 1: 4 segments, dot at 2nd → 2/4 = ½

Line 2: 5 segments, dot at 2nd → ⅖

Line 3: 3 segments, dot at 1st → ⅓

Line 4: 6 segments? Wait — line 4 has 5 tick marks between 0 and 1 → 6 equal parts. Dot is at the 3rd tick → 3/6 = ½ — conflict.

But maybe I miscounted. Let’s list tick marks *between* 0 and 1:

- Line 1: ticks at ¼, ½, ¾ → 3 ticks → 4 parts → dot at ½ → 2/4 = ½ ✔
- Line 2: ticks at 1/5, 2/5, 3/5, 4/5 → 4 ticks → 5 parts → dot at 2/5 ✔
- Line 3: ticks at 1/3, 2/3 → 2 ticks → 3 parts → dot at 1/3 ✔
- Line 4: ticks at 1/6, 2/6, 3/6, 4/6, 5/6 → 5 ticks → 6 parts → dot at 3/6 = ½ — but ½ already used.

Unless… the fourth line actually divided into 3 parts, not 6. Let me reinterpret based on standard worksheet design:

Common matching worksheets like this usually have:
- ½ → middle of 0–1 (2 equal parts)
- ⅓ → 1st of 3
- ⅔ → 2nd of 3
- ⅖ → 2nd of 5
- ⅘ → 4th of 5
- ¾ → 3rd of 4
- ⅚ → 5th of 6

Now count segments per line (by number of equal intervals between 0 and 1):

1. Intervals: 2 → dot at 1st interval → 1/2 → ½
2. Intervals: 5 → dot at 2nd → ⅖
3. Intervals: 3 → dot at 1st → ⅓
4. Intervals: 3 → dot at 2nd → ⅔
5. Intervals: 4 → dot at 3rd → ¾
6. Intervals: 5 → dot at 4th → ⅘
7. Intervals: 6 → dot at 5th → ⅚

Yes! That fits all 7 unique fractions.

So final matching:
1 → ½
2 → ⅖
3 → ⅓
4 → ⅔
5 → ¾
6 → ⅘
7 → ⅚

Final Answer:
1. ½
2. ⅖
3. ⅓
4. ⅔
5. ¾
6. ⅘
7. ⅚