Improper Fraction Worksheet | Grade1to6.com - Free Printable

Let’s solve each part step by step.

We are looking at circles that are divided into equal parts. Some are fully shaded, and some are partially shaded. We need to write the total shaded amount as an improper fraction — meaning the numerator (top number) is bigger than or equal to the denominator (bottom number).

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Part a:

- There are 3 circles.
- Each circle is divided into 4 equal parts → so denominator = 4.
- First two circles are completely shaded → that’s 4 + 4 = 8 parts.
- Third circle has 1 part shaded → +1 more part.
- Total shaded parts = 8 + 1 = 9? Wait — let me check again.

Actually, looking carefully:

In part a:
- Circle 1: all 4 parts shaded → 4/4
- Circle 2: all 4 parts shaded → 4/4
- Circle 3: only 1 out of 4 parts shaded → 1/4

Total = 4/4 + 4/4 + 1/4 = (4+4+1)/4 = 9/4

Wait — but in the example they showed: one full circle (4/4) plus one quarter (1/4) = 5/4. So same idea.

But hold on — in part a, I see only TWO full circles and one with 1/4 shaded? Let me recount from the image description.

Actually, rechecking:

Part a shows:
→ Two full blue circles (each split into 4 quarters, all shaded)
→ One circle with only 1 quarter shaded

So yes: 4 + 4 + 1 = 9 parts shaded, over 4 → 9/4

BUT — wait! In the original problem, maybe I miscounted. Let me think again.

Actually, no — let’s go one by one carefully.

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Let me do this systematically for each part.

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## Part a:
Circles: 3 total
Each divided into 4 parts → denominator = 4
Shaded parts:
- Circle 1: 4 shaded
- Circle 2: 4 shaded
- Circle 3: 1 shaded
Total shaded = 4 + 4 + 1 = 9
Fraction = 9/4

✔ Correct.

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## Part b:
Circles: 4 total
Each divided into 4 parts → denominator = 4
Shaded parts:
- First three circles: all 4 shaded each → 4 × 3 = 12
- Fourth circle: 1 shaded
Total = 12 + 1 = 13
Fraction = 13/4

✔ Correct.

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## Part c:
Circles: 3 total
Each divided into 2 parts → denominator = 2
Shaded parts:
- Circle 1: both halves shaded → 2
- Circle 2: both halves shaded → 2
- Circle 3: one half shaded → 1
Total = 2 + 2 + 1 = 5
Fraction = 5/2

✔ Correct.

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## Part d:
Circles: 3 total
Each divided into 3 parts → denominator = 3
Shaded parts:
- Circle 1: all 3 shaded → 3
- Circle 2: all 3 shaded → 3
- Circle 3: 1 shaded
Total = 3 + 3 + 1 = 7
Fraction = 7/3

✔ Correct.

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## Part e:
Circles: 5 total
Each divided into 4 parts → denominator = 4
Shaded parts:
- First four circles: all 4 shaded each → 4 × 4 = 16
- Fifth circle: 1 shaded
Total = 16 + 1 = 17
Fraction = 17/4

✔ Correct.

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## Part f:
Circles: 4 total
Each divided into 6 parts → denominator = 6
Shaded parts:
- First three circles: all 6 shaded each → 6 × 3 = 18
- Fourth circle: 1 shaded
Total = 18 + 1 = 19
Fraction = 19/6

✔ Correct.

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Now, let’s double-check each calculation once more before finalizing.

a. 2 full (4 each) + 1/4 → 8 + 1 = 9 → 9/4 ✔️
b. 3 full (4 each) + 1/4 → 12 + 1 = 13 → 13/4 ✔️
c. 2 full (2 each) + 1/2 → 4 + 1 = 5 → 5/2 ✔️
d. 2 full (3 each) + 1/3 → 6 + 1 = 7 → 7/3 ✔️
e. 4 full (4 each) + 1/4 → 16 + 1 = 17 → 17/4 ✔️
f. 3 full (6 each) + 1/6 → 18 + 1 = 19 → 19/6 ✔️

All correct.

Final Answer:
a. 9/4
b. 13/4
c. 5/2
d. 7/3
e. 17/4
f. 19/6