To solve this problem, we need to find the missing numerators that make each fraction equivalent. Equivalent fractions are different fractions that represent the same value. We can find them by multiplying or dividing both the numerator and denominator by the same number.
Let’s go step by step for each problem:
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Problem 1:
Given:
$\frac{1}{3} = \frac{?}{9} = \frac{?}{12}$
- To get from 3 to 9 in the denominator, multiply by 3 → so multiply numerator (1) by 3 →
3
- To get from 3 to 12, multiply by 4 → so multiply numerator (1) by 4 →
4
→ Answer: $\frac{1}{3} = \frac{3}{9} = \frac{4}{12}$
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Problem 2:
$\frac{1}{2} = \frac{?}{8} = \frac{?}{10}$
- 2 → 8: ×4 → 1×4 =
4
- 2 → 10: ×5 → 1×5 =
5
→ $\frac{1}{2} = \frac{4}{8} = \frac{5}{10}$
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Problem 3:
$\frac{1}{5} = \frac{?}{10} = \frac{?}{15}$
- 5 → 10: ×2 → 1×2 =
2
- 5 → 15: ×3 → 1×3 =
3
→ $\frac{1}{5} = \frac{2}{10} = \frac{3}{15}$
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Problem 4:
$\frac{2}{3} = \frac{?}{9} = \frac{?}{18}$
- 3 → 9: ×3 → 2×3 =
6
- 3 → 18: ×6 → 2×6 =
12
→ $\frac{2}{3} = \frac{6}{9} = \frac{12}{18}$
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Problem 5:
$\frac{1}{6} = \frac{?}{12} = \frac{?}{36}$
- 6 → 12: ×2 → 1×2 =
2
- 6 → 36: ×6 → 1×6 =
6
→ $\frac{1}{6} = \frac{2}{12} = \frac{6}{36}$
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Problem 6:
$\frac{3}{4} = \frac{?}{12} = \frac{?}{20}$
- 4 → 12: ×3 → 3×3 =
9
- 4 → 20: ×5 → 3×5 =
15
→ $\frac{3}{4} = \frac{9}{12} = \frac{15}{20}$
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Problem 7:
$\frac{2}{5} = \frac{?}{15} = \frac{?}{20}$
- 5 → 15: ×3 → 2×3 =
6
- 5 → 20: ×4 → 2×4 =
8
→ $\frac{2}{5} = \frac{6}{15} = \frac{8}{20}$
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Problem 8:
$\frac{1}{4} = \frac{?}{8} = \frac{?}{16}$
- 4 → 8: ×2 → 1×2 =
2
- 4 → 16: ×4 → 1×4 =
4
→ $\frac{1}{4} = \frac{2}{8} = \frac{4}{16}$
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Problem 9:
$\frac{4}{5} = \frac{?}{10} = \frac{?}{15}$
- 5 → 10: ×2 → 4×2 =
8
- 5 → 15: ×3 → 4×3 =
12
→ $\frac{4}{5} = \frac{8}{10} = \frac{12}{15}$
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Problem 10:
$\frac{1}{7} = \frac{?}{14} = \frac{?}{49}$
- 7 → 14: ×2 → 1×2 =
2
- 7 → 49: ×7 → 1×7 =
7
→ $\frac{1}{7} = \frac{2}{14} = \frac{7}{49}$
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All answers checked and verified.
Final Answer:
1. 3, 4
2. 4, 5
3. 2, 3
4. 6, 12
5. 2, 6
6. 9, 15
7. 6, 8
8. 2, 4
9. 8, 12
10. 2, 7
Parent Tip: Review the logic above to help your child master the concept of fraction equivalent worksheet grade 4.
