FREE Decomposing Fractions Worksheets [PDFs] Brighterly - Free Printable

Let’s solve each problem step by step.

We are decomposing fractions — that means breaking one fraction into smaller parts that add up to the original. The models show blocks, and we need to write the fractions under each group of blue blocks so they add up to the total fraction shown on the left.

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Problem 1:
Total = 6/6
Model shows: 2 blocks + 2 blocks + 2 blocks → three groups of 2 out of 6
So each group is 2/6
Answer: 2/6 + 2/6 + 2/6

Check: 2+2+2 = 6 → 6/6 ✔️

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Problem 2:
Total = 5/5
Model shows: 3 blocks + 1 block + 1 block → three groups: 3, 1, 1 out of 5
So fractions: 3/5 + 1/5 + 1/5

Check: 3+1+1 = 5 → 5/5 ✔️

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Problem 3:
Total = 6/6
Model shows: 2 blocks + 4 blocks → two groups: 2 and 4 out of 6
Fractions: 2/6 + 4/6

Check: 2+4 = 6 → 6/6 ✔️

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Problem 4:
Total = 7/7
Model shows: 3 blocks + 4 blocks → two groups: 3 and 4 out of 7
Fractions: 3/7 + 4/7

Check: 3+4 = 7 → 7/7 ✔️

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Final Answer:

1) 2/6 + 2/6 + 2/6
2) 3/5 + 1/5 + 1/5
3) 2/6 + 4/6
4) 3/7 + 4/7