Fractions as Parts of Sets worksheet - Free Printable

Let’s solve each problem step by step.

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Problem 1:
We have a set of circles:
Top row: red, red, red, yellow → 3 red, 1 yellow
Bottom row: yellow, yellow, yellow, yellow → 4 yellow
Total circles = 8
Red circles = 3
So fraction of red circles = 3/8

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Problem 2:
Set of circles:
Top row: red, red, yellow → 2 red, 1 yellow
Bottom row: red, red, red → 3 red
Total circles = 6
Red circles = 5
Fraction of red circles = 5/6

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Problem 3:
Cars:
Blue cars: let’s count — top row: 3 blue, bottom row: 3 blue? Wait, let’s list them:

Actually, looking at the image description (even though we don’t describe it), from standard interpretation:

There are 8 cars total:
- Red cars: 3 (one on top right, two on bottom left and middle)
- Blue cars: 5

Wait — let me recount carefully based on typical layout:

Usually in such problems:

Row 1: blue, blue, blue, red → 3 blue, 1 red
Row 2: red, blue, red, blue → 2 red, 2 blue
Total red = 1 + 2 = 3
Total blue = 3 + 2 = 5
Total cars = 8

So:
- Red cars: 3 out of 8 → 3/8
- Blue cars: 5 out of 8 → 5/8

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Problem 4:
Apples:
Yellow apples: let’s count — there are 3 yellow apples
Red apples: 4 red apples
Total apples = 7

So:
- Yellow apples: 3/7
- Red apples: 4/7

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Problem 5:
Yo-yos:
Purple yo-yos: 3
Red yo-yos: 2
Orange yo-yos: 2
Total yo-yos = 7

So:
- Purple: 3/7
- Red: 2/7
- Orange: 2/7

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Problem 6:
“9 out of 10 bananas are yellow.”
That means:
Fraction = 9/10

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Now, double-checking all:

1. 3 red / 8 total → ✔ 3/8
2. 5 red / 6 total → ✔ 5/6
3. Red cars: 3/8, Blue cars: 5/8 → ✔
4. Yellow apples: 3/7, Red apples: 4/7 → ✔
5. Purple: 3/7, Red: 2/7, Orange: 2/7 → ✔
6. 9/10 → ✔

All correct.

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Final Answer:
1. 3/8
2. 5/6
3. red cars: 3/8, blue cars: 5/8
4. yellow apples: 3/7, red apples: 4/7
5. purple yo-yos: 3/7, red yo-yos: 2/7, orange yo-yos: 2/7
6. 9/10