Proper fraction practice worksheet for Year 3 students, illustrating fractions using colored shapes.

This worksheet is designed to help students identify proper fractions based on visual representations. A proper fraction is a fraction where the numerator (top number) is less than the denominator (bottom number), meaning it represents a part of a whole that is less than 1.

For each question, there's a shape divided into parts, with some parts shaded. Students must choose the correct fraction from the three options provided that matches the shaded portion.

Let’s go through each one step by step:

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1. Circle divided into 4 equal parts, 1 part shaded (yellow)

- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
- Options: $ \frac{2}{5}, \frac{2}{4}, \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $

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2. Square divided into 4 equal parts, 1 part shaded (green)

- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
- Options: $ \frac{2}{3}, \frac{1}{4}, \frac{3}{4} $
✔ Answer: $ \frac{1}{4} $

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3. Rectangle divided into 8 equal parts, 5 shaded (orange)

- Total parts: 8
- Shaded parts: 5
- Fraction: $ \frac{5}{8} $
- Options: $ \frac{2}{4}, \frac{5}{6}, \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $

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4. Triangle divided into 3 equal parts, 1 part shaded (brown)

- Total parts: 3
- Shaded parts: 1
- Fraction: $ \frac{1}{3} $
- Options: $ \frac{1}{3}, \frac{1}{2}, \frac{2}{4} $
✔ Answer: $ \frac{1}{3} $

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5. Circle divided into 8 equal parts, 4 shaded (pink)

- Total parts: 8
- Shaded parts: 4
- Fraction: $ \frac{4}{8} $
- Options: $ \frac{3}{6}, \frac{3}{5}, \frac{4}{8} $
✔ Answer: $ \frac{4}{8} $

(Note: $ \frac{4}{8} = \frac{1}{2} $, but since it's listed as an option, we pick it.)

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6. Rectangle divided into 3 equal parts, 1 shaded (green)

- Total parts: 3
- Shaded parts: 1
- Fraction: $ \frac{1}{3} $
- Options: $ \frac{4}{5}, \frac{1}{3}, \frac{3}{4} $
✔ Answer: $ \frac{1}{3} $

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7. Rectangle divided into 6 equal parts, 5 shaded (blue)

- Total parts: 6
- Shaded parts: 5
- Fraction: $ \frac{5}{6} $
- Options: $ \frac{5}{6}, \frac{3}{7}, \frac{1}{8} $
✔ Answer: $ \frac{5}{6} $

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8. Square divided into 8 equal parts (2x4 grid), 3 shaded (orange)

- Total parts: 8
- Shaded parts: 3
- Fraction: $ \frac{3}{8} $
- But wait — look at the options:
- $ \frac{2}{7}, \frac{4}{8}, \frac{3}{6} $

Wait! The shaded area is 3 out of 8, so $ \frac{3}{8} $. But none of the options is $ \frac{3}{8} $.

Let’s double-check the image:

- The square has 8 small squares.
- Shaded: 3 orange squares → $ \frac{3}{8} $

But options are:
- $ \frac{2}{7} $ → not matching
- $ \frac{4}{8} = \frac{1}{2} $
- $ \frac{3}{6} = \frac{1}{2} $

None match $ \frac{3}{8} $. So likely error in options or shading?

Wait — perhaps I miscounted.

Looking again: It's a 2×4 grid = 8 squares. Let's count shaded:
- Top row: 1 shaded
- Bottom row: 2 shaded
→ Total shaded: 3

So yes, $ \frac{3}{8} $

But none of the choices is $ \frac{3}{8} $. So either:
- Mistake in worksheet
- Or maybe I misread?

Wait — let's check if the shaded parts are actually 4?

No, only 3 are shaded.

Alternatively, maybe the question is asking for equivalent fractions? But no — it's just matching the shaded portion.

Possibility: Maybe the answer should be $ \frac{3}{8} $, but it's not listed. That can't be.

Wait — could the shaded parts be interpreted differently?

Alternatively, maybe it's $ \frac{4}{8} $? But only 3 are shaded.

Wait — let me recheck:

- Top-left: white
- Top-center: shaded
- Top-right: white
- Bottom-left: shaded
- Bottom-center: white
- Bottom-right: shaded

That’s 3 shaded.

So $ \frac{3}{8} $, but not listed.

But $ \frac{3}{6} = \frac{1}{2} $, which is $ \frac{4}{8} $, not $ \frac{3}{8} $

So this seems like a mistake.

But let’s move on and come back.

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9. Hexagon divided into 6 equal parts, 5 shaded (pink)

- Total parts: 6
- Shaded: 5
- Fraction: $ \frac{5}{6} $
- Options: $ \frac{2}{4}, \frac{5}{6}, \frac{5}{8} $
✔ Answer: $ \frac{5}{6} $

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10. Trapezoid divided into 3 equal triangles, 2 shaded (yellow)

- Total parts: 3
- Shaded: 2
- Fraction: $ \frac{2}{3} $
- Options: $ \frac{2}{3}, \frac{1}{4}, \frac{3}{4} $
✔ Answer: $ \frac{2}{3} $

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Now back to Question 8:

It shows a 2×4 grid (8 squares), 3 shaded.

But the options are:
- $ \frac{2}{7} $
- $ \frac{4}{8} $
- $ \frac{3}{6} $

None equals $ \frac{3}{8} $

But $ \frac{3}{6} = \frac{1}{2} = \frac{4}{8} $, so both $ \frac{4}{8} $ and $ \frac{3}{6} $ are equivalent to $ \frac{1}{2} $, but not equal to $ \frac{3}{8} $.

So unless the shaded area is 4, not 3, this is incorrect.

Wait — let’s look carefully at the image:

The figure is a 2×4 grid (8 squares):

- Top row: left white, center shaded, right white → 1 shaded
- Bottom row: left shaded, center white, right shaded → 2 shaded

Total: 3 shaded

Yes.

So the correct fraction is $ \frac{3}{8} $, but it's not among the options.

But $ \frac{3}{6} = \frac{1}{2} $, which is $ \frac{4}{8} $, so maybe the intended answer is $ \frac{3}{6} $? But that would be wrong.

Alternatively, maybe the figure is meant to represent $ \frac{3}{6} $? But it has 8 parts.

Wait — could it be a typo? Perhaps the grid is meant to be 6 parts?

No, it's clearly 2 rows × 4 columns = 8.

So this appears to be an error in the worksheet.

But let's assume the student is supposed to pick the closest or possibly there's a miscount.

Alternatively, maybe the shaded region is 4?

Wait — no, only 3 are shaded.

Another possibility: maybe the question is about simplified form, but still, $ \frac{3}{8} $ is already simplified.

So unless the answer key includes $ \frac{3}{8} $, but it doesn’t.

Wait — perhaps the shaded parts are 4?

Let me recount:

- Top-left: white
- Top-center: shaded
- Top-right: white
- Bottom-left: shaded
- Bottom-center: white
- Bottom-right: shaded

That’s only 3.

Wait — maybe the top-right is shaded? No, it's white.

So definitely 3.

So either the worksheet has an error, or the options are wrong.

But let's suppose it's $ \frac{4}{8} $ — that would mean 4 shaded, but only 3 are.

So I think this is a mistake.

But let’s check if any other interpretation works.

Alternatively, maybe the figure is divided into 6 parts, not 8?

No — it’s 2×4 = 8.

So I conclude: Question 8 has an error.

But let’s see what the most reasonable choice is.

If the shaded is 3 out of 8, and options are:

- $ \frac{2}{7} \approx 0.286 $
- $ \frac{4}{8} = 0.5 $
- $ \frac{3}{6} = 0.5 $

But $ \frac{3}{8} = 0.375 $, which is closer to $ \frac{2}{7} $ (~0.286) than to 0.5.

But $ \frac{2}{7} $ is ~0.286, $ \frac{3}{8} = 0.375 $, difference is ~0.09

$ \frac{4}{8} = 0.5 $, difference is 0.125 — larger.

So $ \frac{2}{7} $ is closer, but still not correct.

So no good option.

Therefore, likely a typo in the worksheet.

But perhaps the shaded area is 4?

Let me recheck the image description:

"8. Orange squares: top-center, bottom-left, bottom-right" — that's 3.

Unless the top-right is also shaded? But in the image, it's white.

So I think the worksheet has an error here.

But let's proceed with the rest.

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Summary of Answers:

| Question | Shape | Shaded | Fraction | Correct Option |
|--------|-------|--------|----------|----------------|
| 1 | Circle, 4 parts, 1 shaded | $ \frac{1}{4} $ | ✔ $ \frac{1}{4} $ |
| 2 | Square, 4 parts, 1 shaded | $ \frac{1}{4} $ | ✔ $ \frac{1}{4} $ |
| 3 | Rectangle, 8 parts, 5 shaded | $ \frac{5}{8} $ | ✔ $ \frac{5}{8} $ |
| 4 | Triangle, 3 parts, 1 shaded | $ \frac{1}{3} $ | ✔ $ \frac{1}{3} $ |
| 5 | Circle, 8 parts, 4 shaded | $ \frac{4}{8} $ | ✔ $ \frac{4}{8} $ |
| 6 | Rectangle, 3 parts, 1 shaded | $ \frac{1}{3} $ | ✔ $ \frac{1}{3} $ |
| 7 | Rectangle, 6 parts, 5 shaded | $ \frac{5}{6} $ | ✔ $ \frac{5}{6} $ |
| 8 | Grid, 8 parts, 3 shaded | $ \frac{3}{8} $ | ✘ Not listed (error) |
| 9 | Hexagon, 6 parts, 5 shaded | $ \frac{5}{6} $ | ✔ $ \frac{5}{6} $ |
| 10 | Trapezoid, 3 parts, 2 shaded | $ \frac{2}{3} $ | ✔ $ \frac{2}{3} $ |

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Final Answers:

1. $ \boxed{\frac{1}{4}} $
2. $ \boxed{\frac{1}{4}} $
3. $ \boxed{\frac{5}{8}} $
4. $ \boxed{\frac{1}{3}} $
5. $ \boxed{\frac{4}{8}} $
6. $ \boxed{\frac{1}{3}} $
7. $ \boxed{\frac{5}{6}} $
8. Error — correct fraction is $ \frac{3}{8} $, but not listed
9. $ \boxed{\frac{5}{6}} $
10. $ \boxed{\frac{2}{3}} $

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Explanation:

- Each shape is divided into equal parts.
- Count total parts (denominator).
- Count shaded parts (numerator).
- Match the fraction to the correct option.
- For Question 8, the correct answer should be $ \frac{3}{8} $, but it's not among the choices. This may be a printing or design error.

✔ All others are correctly matched.

Let me know if you'd like a corrected version of the worksheet!