Equivalent Fractions worksheet for practice, divided into three sections with various fraction problems to solve.

Let’s solve each section step by step. We’re finding equivalent fractions — that means we multiply or divide the top and bottom of a fraction by the same number to get a new fraction that equals the original.

---

Section A:

We start with simple unit fractions (1 over something) and find what goes in the blank to make them equal.

Row 1:
- 1/2 = 2/? → Multiply numerator and denominator by 2 → 1×2=2, 2×2=4 → 4
- 1/3 = 3/? → Multiply by 3 → 3×3=9 → 9
- 1/4 = 4/? → Multiply by 4 → 4×4=16 → 16
- 1/5 = 5/? → Multiply by 5 → 5×5=25 → 25

Row 2:
- 1/2 = 5/? → Multiply by 5 → 2×5=10 → 10
- 1/3 = 4/? → Multiply by 4 → 3×4=12 → 12
- 1/4 = 2/? → Multiply by 2 → 4×2=8 → 8
- 1/5 = 3/? → Multiply by 3 → 5×3=15 → 15

Row 3:
- 1/2 = ?/20 → Denominator went from 2 to 20 → multiplied by 10 → so numerator: 1×10=10 → 10
- 1/3 = ?/15 → 3 to 15 is ×5 → 1×5=5 → 5
- 1/4 = ?/12 → 4 to 12 is ×3 → 1×3=3 → 3
- 1/5 = ?/20 → 5 to 20 is ×4 → 1×4=4 → 4

Row 4:
- 1/2 = ?/8 → 2 to 8 is ×4 → 1×4=4 → 4
- 1/3 = ?/6 → 3 to 6 is ×2 → 1×2=2 → 2
- 1/4 = ?/20 → 4 to 20 is ×5 → 1×5=5 → 5
- 1/5 = ?/25 → 5 to 25 is ×5 → 1×5=5 → 5

✔ Section A Answers:
Row 1: 4, 9, 16, 25
Row 2: 10, 12, 8, 15
Row 3: 10, 5, 3, 4
Row 4: 4, 2, 5, 5

---

Section B:

Same idea — but now some blanks are on top, some on bottom.

Row 1:
- 1/2 = 5/? → 1 to 5 is ×5 → 2×5=10 → 10
- 1/2 = 4/? → 1 to 4 is ×4 → 2×4=8 → 8
- 1/2 = 3/? → 1 to 3 is ×3 → 2×3=6 → 6
- 1/2 = ?/12 → 2 to 12 is ×6 → 1×6=6 → 6

Row 2:
- 1/3 = 5/? → 1 to 5 is ×5 → 3×5=15 → 15
- 1/3 = 4/? → 1 to 4 is ×4 → 3×4=12 → 12
- 1/3 = 3/? → 1 to 3 is ×3 → 3×3=9 → 9
- 1/3 = ?/12 → 3 to 12 is ×4 → 1×4=4 → 4

Row 3:
- 1/4 = 5/? → 1 to 5 is ×5 → 4×5=20 → 20
- 1/4 = 4/? → 1 to 4 is ×4 → 4×4=16 → 16
- 1/4 = 3/? → 1 to 3 is ×3 → 4×3=12 → 12
- 1/4 = ?/12 → 4 to 12 is ×3 → 1×3=3 → 3

Row 4:
- 1/5 = 5/? → 1 to 5 is ×5 → 5×5=25 → 25
- 1/4 = 8/? → 1 to 8 is ×8 → 4×8=32 → 32
- 1/4 = 5/? → 1 to 5 is ×5 → 4×5=20 → 20
- 1/4 = ?/16 → 4 to 16 is ×4 → 1×4=4 → 4

✔ Section B Answers:
Row 1: 10, 8, 6, 6
Row 2: 15, 12, 9, 4
Row 3: 20, 16, 12, 3
Row 4: 25, 32, 20, 4

---

Section C:

Now we have chains of equivalent fractions — all must be equal!

First chain:
1/2 = ?/8 = 3/? = ?/4

Start with 1/2 = ?/8 → 2 to 8 is ×4 → 1×4=4 → first blank: 4
Then 1/2 = 3/? → 1 to 3 is ×3 → 2×3=6 → second blank: 6
Then 1/2 = ?/4 → 2 to 4 is ×2 → 1×2=2 → third blank: 2

So: 1/2 = 4/8 = 3/6 = 2/4 ✔

Second chain:
1/5 = ?/25 = 4/? = 2/?

1/5 = ?/25 → 5 to 25 is ×5 → 1×5=5 → first blank: 5
1/5 = 4/? → 1 to 4 is ×4 → 5×4=20 → second blank: 20
1/5 = 2/? → 1 to 2 is ×2 → 5×2=10 → third blank: 10

So: 1/5 = 5/25 = 4/20 = 2/10 ✔

Third chain:
1/3 = ?/12 = 3/? = ?/24

1/3 = ?/12 → 3 to 12 is ×4 → 1×4=4 → first blank: 4
1/3 = 3/? → 1 to 3 is ×3 → 3×3=9 → second blank: 9
1/3 = ?/24 → 3 to 24 is ×8 → 1×8=8 → third blank: 8

So: 1/3 = 4/12 = 3/9 = 8/24 ✔

Fourth chain:
1/4 = ?/20 = 6/? = 2/?

1/4 = ?/20 → 4 to 20 is ×5 → 1×5=5 → first blank: 5
1/4 = 6/? → 1 to 6 is ×6 → 4×6=24 → second blank: 24
1/4 = 2/? → 1 to 2 is ×2 → 4×2=8 → third blank: 8

So: 1/4 = 5/20 = 6/24 = 2/8 ✔

✔ Section C Answers:
Chain 1: 4, 6, 2
Chain 2: 5, 20, 10
Chain 3: 4, 9, 8
Chain 4: 5, 24, 8

---

Final Answer:

Section A:
Row 1: 4, 9, 16, 25
Row 2: 10, 12, 8, 15
Row 3: 10, 5, 3, 4
Row 4: 4, 2, 5, 5

Section B:
Row 1: 10, 8, 6, 6
Row 2: 15, 12, 9, 4
Row 3: 20, 16, 12, 3
Row 4: 25, 32, 20, 4

Section C:
Chain 1: 4, 6, 2
Chain 2: 5, 20, 10
Chain 3: 4, 9, 8
Chain 4: 5, 24, 8