Improper Fractions to Mixed Numbers Worksheet (examples, answers - Free Printable

Let’s solve each mixed number problem step by step.

A mixed number is a whole number plus a fraction. We count how many full shapes there are (that’s the whole number), then look at the last shape to see what fraction it shows.

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Row 1, Left: Circles

- There are 2 full yellow circles → that’s “2”
- The third circle is half filled → that’s “½”
→ So the mixed number is 2 ½ (already done as example)

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Row 1, Right: Rectangles

- Each rectangle is divided into 4 equal parts.
- First 3 rectangles are fully shaded → that’s “3”
- Fourth rectangle has 3 out of 4 parts shaded → that’s “¾”
→ Mixed number = 3 ¾

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Row 2, Left: Small squares in groups

- Each group has 8 small squares.
- First two groups are fully shaded → that’s “2”
- Third group has 5 out of 8 shaded → that’s “⁵⁄”
→ Mixed number = 2 ⁵⁄₈

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Row 2, Right: Triangles

- Each triangle is divided into 3 equal parts.
- First triangle is fully shaded → that’s “1”
- Second triangle has 1 out of 3 parts shaded → that’s “⅓”
→ Mixed number = 1 ⅓

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Row 3, Left: Vertical rectangles

- Each rectangle is divided into 5 equal parts.
- First 3 rectangles are fully shaded → that’s “3”
- Fourth rectangle has 3 out of 5 parts shaded → that’s “³⁄₅”
→ Mixed number = 3 ³⁄₅

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Row 3, Right: Circles divided into 6 parts

- First circle is fully shaded → that’s “1”
- Second circle has 4 out of 6 parts shaded → simplify ⁴⁄₆ to ²⁄₃
→ Mixed number = 1 ²⁄₃

*(Note: ⁴⁄₆ reduces to ²⁄₃ because both numerator and denominator can be divided by 2)*

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Row 4, Left: Triangles

- Each triangle is one whole unit.
- All 5 triangles are fully shaded → that’s “5”
→ No fraction part → Mixed number = 5

*(But since it’s asking for a mixed number, we can write it as 5 ⁰⁄₁ or just 5 — but usually if no fraction, we just write the whole number. However, looking at the pattern, maybe they expect 5 with no fraction box? But let’s check the image layout — actually, all boxes have space for whole + fraction. Since all are full, fraction is 0. But typically we don’t write 0/anything. Let’s assume it’s just 5.)*

Wait — rechecking: In row 4 left, there are 5 pink triangles, all completely filled. So yes, 5.

But perhaps the worksheet expects us to write it as a mixed number even if fraction is zero? Unlikely. Probably just 5.

Actually, looking again — in the first row, they wrote “2 ½”, so for this, since there’s no partial shape, it’s just 5.

But let’s see the next one…

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Row 4, Right: Squares

- Each big square is made of 4 small squares? Wait — actually, each “unit” seems to be a block of 4 small squares arranged in 2x2.

Looking closely:

- First two blocks are fully shaded → that’s “2”
- Third block has only 1 small square shaded out of 4 → that’s “¼”
→ Mixed number = 2 ¼

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Now let’s list all answers clearly:

1. Row 1 Right: 3 ¾
2. Row 2 Left: 2 ⁵⁄₈
3. Row 2 Right: 1 ⅓
4. Row 3 Left: 3 ³⁄₅
5. Row 3 Right: 1 ²⁄₃
6. Row 4 Left: 5 (or possibly 5 ⁰₁, but 5 is fine)
7. Row 4 Right: 2 ¼

Wait — let me double-check Row 4 Left. Are those 5 separate triangles? Yes. And all are fully colored. So yes, 5 wholes → 5

But in some worksheets, they might want you to write it as 5 0/1 or something — but I think for this level, 5 is acceptable.

Alternatively, maybe the student is supposed to leave the fraction blank? But the instruction says “write the mixed number”, and 5 is a whole number, which is also a mixed number with fraction 0.

To be safe, let’s write it as 5 — because adding 0/1 isn’t necessary unless specified.

Final check on Row 3 Right: Circle divided into 6, 4 shaded → 4/6 = 2/3 → correct.

Row 2 Left: 2 full sets of 8, then 5/8 → 2 5/8 → correct.

All good.

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Final Answer:
3 ¾
2 ⁵⁄
1 ⅓
3 ³⁄₅
1 ²⁄₃
5
2 ¼