Sure! Let’s solve this worksheet on
Equivalent Fractions step by step.
The goal is to find the missing numerators (the numbers in the boxes) that make each fraction equivalent to the given one. Remember:
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Equivalent fractions are fractions that represent the same value. You can get them by multiplying or dividing both numerator and denominator by the same number.
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1. $\frac{2}{3} = \frac{\square}{9} = \frac{\square}{12}$
- To go from denominator 3 → 9, multiply by
3 → so numerator 2 × 3 =
6
- To go from denominator 3 → 12, multiply by
4 → so numerator 2 × 4 =
8
✔ Answer: $\frac{2}{3} = \frac{6}{9} = \frac{8}{12}$
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2. $\frac{3}{7} = \frac{\square}{21} = \frac{\square}{35}$
- 7 → 21: multiply by
3 → 3 × 3 =
9
- 7 → 35: multiply by
5 → 3 × 5 =
15
✔ Answer: $\frac{3}{7} = \frac{9}{21} = \frac{15}{35}$
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3. $\frac{5}{7} = \frac{\square}{14} = \frac{\square}{28}$
- 7 → 14: multiply by
2 → 5 × 2 =
10
- 7 → 28: multiply by
4 → 5 × 4 =
20
✔ Answer: $\frac{5}{7} = \frac{10}{14} = \frac{20}{28}$
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4. $\frac{3}{10} = \frac{\square}{20} = \frac{\square}{30}$
- 10 → 20: multiply by
2 → 3 × 2 =
6
- 10 → 30: multiply by
3 → 3 × 3 =
9
✔ Answer: $\frac{3}{10} = \frac{6}{20} = \frac{9}{30}$
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5. $\frac{5}{9} = \frac{\square}{27} = \frac{\square}{36}$
- 9 → 27: multiply by
3 → 5 × 3 =
15
- 9 → 36: multiply by
4 → 5 × 4 =
20
✔ Answer: $\frac{5}{9} = \frac{15}{27} = \frac{20}{36}$
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6. $\frac{3}{8} = \frac{\square}{16} = \frac{\square}{40}$
- 8 → 16: multiply by
2 → 3 × 2 =
6
- 8 → 40: multiply by
5 → 3 × 5 =
15
✔ Answer: $\frac{3}{8} = \frac{6}{16} = \frac{15}{40}$
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7. $\frac{4}{5} = \frac{\square}{45} = \frac{\square}{50}$
- 5 → 45: multiply by
9 → 4 × 9 =
36
- 5 → 50: multiply by
10 → 4 × 10 =
40
✔ Answer: $\frac{4}{5} = \frac{36}{45} = \frac{40}{50}$
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8. $\frac{1}{11} = \frac{\square}{33} = \frac{\square}{44}$
- 11 → 33: multiply by
3 → 1 × 3 =
3
- 11 → 44: multiply by
4 → 1 × 4 =
4
✔ Answer: $\frac{1}{11} = \frac{3}{33} = \frac{4}{44}$
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9. $\frac{2}{9} = \frac{\square}{54} = \frac{\square}{63}$
- 9 → 54: multiply by
6 → 2 × 6 =
12
- 9 → 63: multiply by
7 → 2 × 7 =
14
✔ Answer: $\frac{2}{9} = \frac{12}{54} = \frac{14}{63}$
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10. $\frac{7}{10} = \frac{\square}{20} = \frac{\square}{70}$
- 10 → 20: multiply by
2 → 7 × 2 =
14
- 10 → 70: multiply by
7 → 7 × 7 =
49
✔ Answer: $\frac{7}{10} = \frac{14}{20} = \frac{49}{70}$
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✔ Final Answers:
1. 6, 8
2. 9, 15
3. 10, 20
4. 6, 9
5. 15, 20
6. 6, 15
7. 36, 40
8. 3, 4
9. 12, 14
10. 14, 49
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💡
Tip: Always check your work by simplifying the new fractions — they should reduce back to the original fraction!
Let me know if you’d like a printable version or more practice! 😊
Parent Tip: Review the logic above to help your child master the concept of worksheet on equivalent fractions.
