Visual Fractions Worksheets - 15 Worksheets Library - Free Printable

Let’s solve each problem step by step. We’re adding fractions with the same denominator — that means we just add the top numbers (numerators) and keep the bottom number (denominator) the same.

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Problem 1:
3/8 + 2/8
→ Add numerators: 3 + 2 = 5
→ Denominator stays 8
→ Answer: 5/8

Shade 5 out of 8 parts in the circle.

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Problem 2:
1/6 + 2/6
→ Add numerators: 1 + 2 = 3
→ Denominator stays 6
→ Answer: 3/6

But wait — 3/6 can be simplified! Both 3 and 6 are divisible by 3 → 3÷3=1, 6÷3=2 → so it becomes 1/2

However, since the worksheet says “write your answer using fraction models” and shows a grid divided into 6 parts, they probably want you to leave it as 3/6 for shading purposes. But let’s check the instructions again: it doesn’t say to simplify, so we’ll go with 3/6 unless told otherwise. Actually, looking at the model — the shape is divided into 6 equal parts, so shading 3 of them matches 3/6. So we’ll write 3/6.

Wait — but in math class, sometimes teachers expect simplest form. Let me think... The problem says “add the fractions and write your answer using fraction models.” Since the model has 6 parts, and 3 shaded, 3/6 is correct visually. But if we look ahead, other problems may not reduce either. Let’s hold off on simplifying unless needed.

Actually, let’s do all first without simplifying, then see.

So Problem 2: 3/6

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Problem 3:
4/9 + 3/9
→ 4 + 3 = 7
→ Denominator 9
→ Answer: 7/9

Triangle is divided into 9 small triangles — shade 7 of them.

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Problem 4:
2/8 + 3/8
→ 2 + 3 = 5
→ Denominator 8
→ Answer: 5/8

Flower has 8 petals — shade 5.

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Problem 5:
4/12 + 6/12
→ 4 + 6 = 10
→ Denominator 12
→ Answer: 10/12

Can this be simplified? Yes — both divisible by 2 → 10÷2=5, 12÷2=6 → 5/6

But again — the model is divided into 12 parts. If we shade 10 out of 12, that’s 10/12. However, 5/6 would mean shading 5 out of 6 — but the shape given is divided into 12 parts. So to match the visual model, we should probably write 10/12.

Wait — let’s double-check the instruction: “write your answer using fraction models. Shade the shape in your answer.”

The blank box next to the plus sign is where you write the fraction, and then you shade the shape provided after the equals sign.

Looking at the shapes:

- For problem 1: circle divided into 8 → shade 5/8 ✔️
- Problem 2: square divided into 6 → shade 3/6 ✔️
- Problem 3: triangle divided into 9 → shade 7/9 ✔️
- Problem 4: flower with 8 petals → shade 5/8 ✔️
- Problem 5: octagon divided into 12 → shade 10/12 ✔️

So even though 3/6 = 1/2 and 10/12 = 5/6, since the models are drawn with those denominators, we should use the unsimplified versions to match the shading.

BUT — actually, in many curricula, when adding fractions, you are expected to simplify the final answer unless instructed otherwise. Let me check common standards.

In elementary math, when adding like denominators, students are often taught to simplify the result. For example, 3/6 becomes 1/2.

Also, looking at problem 5: 10/12 reduces to 5/6 — and the shape is divided into 12 parts, but 5/6 of 12 is still 10 parts — so shading 10 parts is correct for both 10/12 and 5/6. Wait — no: 5/6 of the whole would mean dividing the whole into 6 parts and taking 5 — but here the whole is divided into 12 parts. So to represent 5/6 visually on a 12-part model, you’d still shade 10 parts (since 5/6 = 10/12).

So whether you write 10/12 or 5/6, the shading is the same: 10 out of 12.

But the question says: “write your answer using fraction models” — which might imply writing the fraction that matches the model’s division.

However, standard practice is to simplify fractions unless told not to.

Let me look at the worksheet source: 15Worksheets.com — likely aligned with Common Core or similar. In CCSS, Grade 3–4, students learn to add fractions with like denominators and express answers in simplest form.

For example, from CCSS.MATH.CONTENT.4.NF.B.3.A: "Add and subtract fractions with like denominators... Express whole numbers as fractions, and recognize fractions equivalent to whole numbers."

And typically, simplification is expected.

Moreover, in problem 2, 3/6 is clearly meant to become 1/2 — because otherwise why divide the square into 6 if you’re going to shade half? But actually, shading 3 out of 6 is exactly half — so 3/6 = 1/2.

Similarly, 10/12 = 5/6.

I think the best approach is to give the simplified answer, because that’s what’s mathematically correct and expected.

But let’s verify with an example: if a student writes 3/6 instead of 1/2, will it be marked wrong? Probably not if the shading is correct — but ideally, they should simplify.

Given that the worksheet says “write your answer”, not “shade the model only”, I believe we should provide the simplified fraction.

Let me re-solve with simplification:

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Problem 1: 3/8 + 2/8 = 5/8 → already simplified → 5/8

Problem 2: 1/6 + 2/6 = 3/6 = 1/2

Problem 3: 4/9 + 3/9 = 7/9 → already simplified → 7/9

Problem 4: 2/8 + 3/8 = 5/8 → already simplified → 5/8

Problem 5: 4/12 + 6/12 = 10/12 = 5/6

Now, for shading:

- Problem 2: shade 3 out of 6 parts (which represents 1/2)
- Problem 5: shade 10 out of 12 parts (which represents 5/6)

That makes sense.

I think this is the right way.

Final Answers:

1. 5/8
2. 1/2
3. 7/9
4. 5/8
5. 5/6

But let’s confirm problem 2: 1/6 + 2/6 = 3/6 = 1/2 — yes.

Problem 5: 4+6=10, 10/12 = 5/6 — yes.

All good.

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Final Answer:
5/8
1/2
7/9
5/8
5/6