Equivalent Fractions worksheet for Grade 3 students to practice finding equivalent fractions.

Let’s solve each row step by step. We’re finding equivalent fractions — that means we multiply or divide the top (numerator) and bottom (denominator) by the same number to keep the value the same.

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Row 1:
Already done:
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 ✔

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Row 2: Start with 1/3
We need to fill in blanks so all are equal to 1/3.

- 1/3 = ?/6 → Multiply numerator and denominator by 2 → 2/6
- 1/3 = 3/? → To get 3 on top, multiply 1×3=3, so bottom: 3×3=9 → 3/9
- 1/3 = ?/12 → 3×4=12, so top: 1×4=4 → 4/12
- 1/3 = 5/? → 1×5=5, so bottom: 3×5=15 → 5/15
- 1/3 = ?/18 → 3×6=18, so top: 1×6=6 → 6/18

✔ Row 2: 1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18

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Row 3: Start with 1/7
Multiply numerator and denominator by 2, 3, 4, 5, 6:

- 1/7 = 2/14
- 1/7 = 3/21
- 1/7 = 4/28
- 1/7 = 5/35
- 1/7 = 6/42

✔ Row 3: 1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42

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Row 4: Start with 2/3
We have some filled: 6/?, ?/12, ?/15, 12/?

First, 2/3 = 6/? → 2×3=6, so 3×3=9 → 6/9

Then, 2/3 = ?/12 → 3×4=12, so 2×4=8 → 8/12

Then, 2/3 = ?/15 → 3×5=15, so 2×5=10 → 10/15

Then, 2/3 = 12/? → 2×6=12, so 3×6=18 → 12/18

Also, first blank after 2/3 is missing — let’s do ×2: 2×2=4, 3×2=6 → 4/6

Wait — looking at the structure:
It says: 2/3 = ___ = 6/__ = __/12 = __/15 = 12/__

So order is:
1. 2/3
2. ?/? → should be next multiple → ×2 → 4/6
3. 6/? → ×3 → 6/9
4. ?/12 → ×4 → 8/12
5. ?/15 → ×5 → 10/15
6. 12/? → ×6 → 12/18

✔ Row 4: 2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18

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Row 5: Start with 1/4
Given: 1/4 = 3/? = ?/20 = ...

1/4 = 3/? → 1×3=3, so 4×3=12 → 3/12

1/4 = ?/20 → 4×5=20, so 1×5=5 → 5/20

Next: ×6 → 6/24
×7 → 7/28
×8 → 8/32

But let’s check how many blanks:
1/4 = 3/__ = __/20 = __ = __ = __

So:
- 3/12
- 5/20
- Then 6/24
- 7/28
- 8/32

✔ Row 5: 1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32

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Row 6: Start with 3/8
Given: 3/8 = __ = __/24 = __/32 = 15/__ = __/48

Find multiples:

3/8 = ?/? → ×2 → 6/16
3/8 = ?/24 → 8×3=24, so 3×3=9 → 9/24
3/8 = ?/32 → 8×4=32, so 3×4=12 → 12/32
3/8 = 15/? → 3×5=15, so 8×5=40 → 15/40
3/8 = ?/48 → 8×6=48, so 3×6=18 → 18/48

And first blank: ×2 → 6/16

✔ Row 6: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/48

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Row 7: Start with 1/5
Given: 1/5 = __/10 = __/15 = __ = __ = __/30

1/5 = ?/10 → 5×2=10, so 1×2=2 → 2/10
1/5 = ?/15 → 5×3=15, so 1×3=3 → 3/15
Then ×4 → 4/20
×5 → 5/25
×6 → 6/30

✔ Row 7: 1/5 = 2/10 = 3/15 = 4/20 = 5/25 = 6/30

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Row 8: Start with 5/10
Simplify first? But we want equivalent fractions — can go up or down.

5/10 = 1/2, but let’s build from 5/10.

Multiply numerator and denominator by 2, 3, 4, 5, 6:

×2 → 10/20
×3 → 15/30
×4 → 20/40
×5 → 25/50
×6 → 30/60

Or simplify first: 5/10 = 1/2, then use 1/2 chain like row 1.

But since it starts with 5/10, better to scale up:

5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60

✔ Row 8: 5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60

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Final Answer:

1. 1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
2. 1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18
3. 1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42
4. 2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18
5. 1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32
6. 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/48
7. 1/5 = 2/10 = 3/15 = 4/20 = 5/25 = 6/30
8. 5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60