Equivalent Fractions Worksheet - Free Printable

Absolutely! Let’s solve this Equivalent Fractions Sheet 5 step by step.

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## 🔍 Part 1: Fill in the Missing Numerators or Denominators

We are given fractions and need to find the missing number to make them equivalent. To do this, we use multiplication or division to scale the numerator and denominator by the same factor.

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✔ Problems 1–24:

#### 1) 3/3 = ___ / 9
- 3 → 9 is ×3, so 3 × 3 = 9
→ Answer: 9

#### 2) 2/8 = ___ / 32
- 8 → 32 is ×4, so 2 × 4 = 8
→ Answer: 8

#### 3) 4/7 = ___ / 28
- 7 → 28 is ×4, so 4 × 4 = 16
→ Answer: 16

#### 4) 4/9 = ___ / 45
- 9 → 45 is ×5, so 4 × 5 = 20
→ Answer: 20

#### 5) 3/4 = ___ / 36
- 4 → 36 is ×9, so 3 × 9 = 27
→ Answer: 27

#### 6) 1/8 = ___ / 48
- 8 → 48 is ×6, so 1 × 6 = 6
→ Answer: 6

#### 7) 2/9 = 12 / ___
- 2 → 12 is ×6, so 9 × 6 = 54
→ Answer: 54

#### 8) 3/10 = 21 / ___
- 3 → 21 is ×7, so 10 × 7 = 70
→ Answer: 70

#### 9) 4/3 = ___ / 18
- 3 → 18 is ×6, so 4 × 6 = 24
→ Answer: 24

#### 10) 2/6 = ___ / 60
- 6 → 60 is ×10, so 2 × 10 = 20
→ Answer: 20

#### 11) 6/5 = 18 / ___
- 6 → 18 is ×3, so 5 × 3 = 15
→ Answer: 15

#### 12) 4/7 = 24 / ___
- 4 → 24 is ×6, so 7 × 6 = 42
→ Answer: 42

#### 13) 5/12 = ___ / 60
- 12 → 60 is ×5, so 5 × 5 = 25
→ Answer: 25

#### 14) 7/11 = 28 / ___
- 7 → 28 is ×4, so 11 × 4 = 44
→ Answer: 44

#### 15) 5/4 = 35 / ___
- 5 → 35 is ×7, so 4 × 7 = 28
→ Answer: 28

#### 16) 11/12 = ___ / 72
- 12 → 72 is ×6, so 11 × 6 = 66
→ Answer: 66

#### 17) 4/9 = ___ / 81
- 9 → 81 is ×9, so 4 × 9 = 36
→ Answer: 36

#### 18) 9/10 = 54 / ___
- 9 → 54 is ×6, so 10 × 6 = 60
→ Answer: 60

#### 19) 4/13 = ___ / 52
- 13 → 52 is ×4, so 4 × 4 = 16
→ Answer: 16

#### 20) 8/3 = 24 / ___
- 8 → 24 is ×3, so 3 × 3 = 9
→ Answer: 9

#### 21) 3/10 = ___ / 60
- 10 → 60 is ×6, so 3 × 6 = 18
→ Answer: 18

#### 22) 5/2 = ___ / 12
- 2 → 12 is ×6, so 5 × 6 = 30
→ Answer: 30

#### 23) 9/12 = 3 / ___
- 9 → 3 is ÷3, so 12 ÷ 3 = 4
→ Answer: 4

#### 24) 5/___ = 30/54
- 5 → 30 is ×6, so 54 ÷ 6 = 9
→ Answer: 9

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## 🐢 Part 2: Compare Fractions Using >, <, or =

We need to compare two fractions. The easiest way is to find a common denominator or convert to decimals. I’ll show both methods briefly.

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25) 3/7 □ 10/14

- Simplify 10/14 → 5/7
- 3/7 vs 5/7 → 3 < 5 → <
→ Answer: <

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26) 2/3 □ 8/15

- Common denominator: 15
- 2/3 = 10/15
- 10/15 > 8/15 → >
→ Answer: >

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27) 1/2 □ 12/20

- Simplify 12/20 → 3/5
- 1/2 = 0.5, 3/5 = 0.6 → 0.5 < 0.6 → <
→ Answer: <

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28) 4/5 □ 16/20

- 16/20 = 4/5 → equal!
→ Answer: =

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29) 3/7 □ 5/14

- Common denominator: 14
- 3/7 = 6/14
- 6/14 > 5/14 → >
→ Answer: >

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30) 4/9 □ 8/18

- 8/18 = 4/9 → equal!
→ Answer: =

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31) 1/6 □ 3/24

- Simplify 3/24 → 1/8
- 1/6 vs 1/8 → 1/6 > 1/8 (since smaller denominator = larger fraction when numerators are same)
→ Answer: >

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32) 2/3 □ 7/9

- Common denominator: 9
- 2/3 = 6/9
- 6/9 < 7/9 → <
→ Answer: <

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## 🎯 Final Answers Summary:

Part 1 (Fill in blanks):

1) 9
2) 8
3) 16
4) 20
5) 27
6) 6
7) 54
8) 70
9) 24
10) 20
11) 15
12) 42
13) 25
14) 44
15) 28
16) 66
17) 36
18) 60
19) 16
20) 9
21) 18
22) 30
23) 4
24) 9

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Part 2 (Compare):

25) <
26) >
27) <
28) =
29) >
30) =
31) >
32) <

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## 💡 Bonus: Spotting Improper Fractions

The worksheet asks: “Some of these fractions are improper fractions — can you spot them?”

An improper fraction has numerator > denominator.

Let’s look at original fractions in Part 1:

- Problem 9: 4/3 → 4 > 3 → Improper
- Problem 11: 6/5 → 6 > 5 → Improper
- Problem 15: 5/4 → 5 > 4 → Improper
- Problem 20: 8/3 → 8 > 3 → Improper
- Problem 22: 5/2 → 5 > 2 → Improper

✔ So, the improper fractions are in problems: 9, 11, 15, 20, 22

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✔ All done! You’ve mastered equivalent fractions and comparisons. Great job! 🌟