Equivalent Fractions Worksheet 5 with exercises to find equivalent fractions and compare them using >, <, and = symbols.

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

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## 📌 PART 1: Finding the Missing Numerator or Denominator

We are given fractions with one part missing. We need to find the missing number to make the two fractions equivalent.

To do this, we use cross-multiplication or scaling up/down — that is, multiply or divide numerator and denominator by the same number.

Let’s go problem by problem:

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🔢 Problems 1–24: Fill in the blank

> Tip: If you know one fraction and the denominator (or numerator) of the equivalent one, divide or multiply accordingly.

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#### 1) 3/3 = ___ / 9
→ 3/3 = 1 → So 1 = ?/9 → ? = 9

✔ Answer: 9

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#### 2) 2/8 = ___ / 32
→ 8 × 4 = 32 → Multiply numerator by 4 → 2 × 4 = 8

✔ Answer: 8

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#### 3) 4/7 = ___ / 28
→ 7 × 4 = 28 → 4 × 4 = 16

✔ Answer: 16

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#### 4) 4/9 = ___ / 45
→ 9 × 5 = 45 → 4 × 5 = 20

✔ Answer: 20

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#### 5) 3/4 = ___ / 36
→ 4 × 9 = 36 → 3 × 9 = 27

✔ Answer: 27

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#### 6) 1/8 = ___ / 48
→ 8 × 6 = 48 → 1 × 6 = 6

✔ Answer: 6

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#### 7) 2/9 = 12 / ___
→ 2 × 6 = 12 → so denominator: 9 × 6 = 54

✔ Answer: 54

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#### 8) 3/10 = 21 / ___
→ 3 × 7 = 21 → 10 × 7 = 70

✔ Answer: 70

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#### 9) 4/3 = ___ / 18
→ 3 × 6 = 18 → 4 × 6 = 24

✔ Answer: 24

*(Note: 4/3 is an improper fraction — numerator > denominator)*

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#### 10) 2/6 = ___ / 60
→ 6 × 10 = 60 → 2 × 10 = 20

✔ Answer: 20

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#### 11) 6/5 = 18 / ___
→ 6 × 3 = 18 → 5 × 3 = 15

✔ Answer: 15

*(6/5 is improper)*

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#### 12) 4/7 = 24 / ___
→ 4 × 6 = 24 → 7 × 6 = 42

✔ Answer: 42

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#### 13) 5/12 = ___ / 60
→ 12 × 5 = 60 → 5 × 5 = 25

✔ Answer: 25

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#### 14) 7/11 = 28 / ___
→ 7 × 4 = 28 → 11 × 4 = 44

✔ Answer: 44

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#### 15) 5/4 = 35 / ___
→ 5 × 7 = 35 → 4 × 7 = 28

✔ Answer: 28

*(5/4 is improper)*

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#### 16) 11/12 = ___ / 72
→ 12 × 6 = 72 → 11 × 6 = 66

✔ Answer: 66

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#### 17) 4/9 = ___ / 81
→ 9 × 9 = 81 → 4 × 9 = 36

✔ Answer: 36

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#### 18) 9/10 = 54 / ___
→ 9 × 6 = 54 → 10 × 6 = 60

✔ Answer: 60

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#### 19) 4/13 = ___ / 52
→ 13 × 4 = 52 → 4 × 4 = 16

✔ Answer: 16

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#### 20) 8/3 = 24 / ___
→ 8 × 3 = 24 → 3 × 3 = 9

✔ Answer: 9

*(8/3 is improper)*

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#### 21) 3/10 = ___ / 60
→ 10 × 6 = 60 → 3 × 6 = 18

✔ Answer: 18

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#### 22) 5/2 = ___ / 12
→ 2 × 6 = 12 → 5 × 6 = 30

✔ Answer: 30

*(5/2 is improper)*

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#### 23) 9/12 = 3 / ___
→ 9 ÷ 3 = 3 → 12 ÷ 3 = 4

✔ Answer: 4

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#### 24) 5/___ = 30 / 54
→ 5 × 6 = 30 → so denominator: 54 ÷ 6 = 9

✔ Answer: 9

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✔ Summary of Improper Fractions Found (numerator > denominator):
- #9: 4/3
- #11: 6/5
- #15: 5/4
- #20: 8/3
- #22: 5/2

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## 📊 PART 2: Comparing Fractions Using >, <, or =

We need to compare pairs of fractions. Best way: find common denominators or convert to decimals, or cross-multiply.

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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

→ Cross multiply: 2×15 = 30, 3×8 = 24 → 30 > 24 → so 2/3 > 8/15

✔ Answer: >

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27) 1/2 ___ 12/20

→ Simplify 12/20 = 3/5
→ Compare 1/2 and 3/5 → cross multiply: 1×5=5, 2×3=6 → 5 < 6 → so 1/2 < 3/5

✔ Answer: <

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28) 4/5 ___ 16/20

→ 16/20 = 4/5 → they are 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

→ 3/24 = 1/8
→ 1/6 vs 1/8 → since 6 < 8, 1/6 > 1/8

✔ 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 ANSWER KEY:

Part 1: Fill in the 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: Comparison Symbols

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

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## 🐸 Bonus: Spot the Improper Fractions!

As mentioned, improper fractions have numerator > denominator.

From the problems above, these are improper:
- #9: 4/3
- #11: 6/5
- #15: 5/4
- #20: 8/3
- #22: 5/2

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✔ You’ve now completed the entire sheet correctly!

Let me know if you’d like a printable version or explanation for any specific problem!