Equivalent Fractions Worksheet - Free Printable

Let’s go through each problem one by one. We’re looking for equivalent fractions — that means the shaded parts of the circles represent the same amount, even if the circles are split into different numbers of pieces.

We’ll count how many total pieces each circle is divided into (that’s the denominator), and how many are shaded (that’s the numerator). Then we’ll find what number goes in the blank to make the fractions equal.

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Problem 1:
Left circle: 2 pieces, 1 shaded → 1/2
Right circle: 4 pieces, ? shaded → must be 2 shaded to equal 1/2
So: 1/2 = 2/4

✔ Answer: 2

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Problem 2:
Left: 3 pieces, 1 shaded → 1/3
Right: 6 pieces, ? shaded → to match 1/3, we need 2 shaded (because 1×2=2, 3×2=6)
So: 1/3 = 2/6

✔ Answer: 2

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Problem 3:
Left: 4 pieces, 1 shaded → 1/4
Right: 8 pieces, ? shaded → 1×2=2, 4×2=8 → so 2 shaded
So: 1/4 = 2/8

✔ Answer: 2

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Problem 4:
Left: 2 pieces, 1 shaded → 1/2
Right: 6 pieces, ? shaded → 1×3=3, 2×3=6 → so 3 shaded
So: 1/2 = 3/6

✔ Answer: 3

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Problem 5:
Left: 3 pieces, 1 shaded → 1/3
Right: 9 pieces, ? shaded → 1×3=3, 3×3=9 → so 3 shaded
So: 1/3 = 3/9

✔ Answer: 3

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Problem 6:
Left: 4 pieces, 3 shaded → 3/4
Right: 8 pieces, ? shaded → 3×2=6, 4×2=8 → so 6 shaded
So: 3/4 = 6/8

✔ Answer: 6

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Problem 7:
Left: 6 pieces, 4 shaded → 4/6
Right: 3 pieces, ? shaded → simplify 4/6 → divide top and bottom by 2 → 2/3
So: 4/6 = 2/3

✔ Answer: 2

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Problem 8:
Left: 8 pieces, 4 shaded → 4/8
Right: 4 pieces, ? shaded → simplify 4/8 → divide by 4 → 1/2 → so 2 shaded out of 4
Or: 4÷2=2, 8÷2=4 → so 2/4
So: 4/8 = 2/4

✔ Answer: 2

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Problem 9:
Left: 5 pieces, 2 shaded → 2/5
Right: 10 pieces, ? shaded → 2×2=4, 5×2=10 → so 4 shaded
So: 2/5 = 4/10

✔ Answer: 4

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Problem 10:
Left: 10 pieces, 5 shaded → 5/10
Right: 2 pieces, ? shaded → simplify 5/10 → divide by 5 → 1/2 → so 1 shaded out of 2
Or: 5÷5=1, 10÷5=2 → so 1/2
So: 5/10 = 1/2

✔ Answer: 1

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Final Answer:
1) 2
2) 2
3) 2
4) 3
5) 3
6) 6
7) 2
8) 2
9) 4
10) 1