Let’s solve each problem step by step. We’re finding equivalent fractions — that means we want the same value, just written with different numbers.
To do this, we look at how the denominator (bottom number) changed, and then multiply the numerator (top number) by the same amount.
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1.
$\frac{1}{3} = \frac{?}{6}$
→ 3 × 2 = 6 → so multiply top by 2: 1 × 2 =
2
2.
$\frac{2}{3} = \frac{?}{6}$
→ 3 × 2 = 6 → 2 × 2 =
4
3.
$\frac{1}{3} = \frac{?}{12}$
→ 3 × 4 = 12 → 1 × 4 =
4
4.
$\frac{1}{6} = \frac{?}{12}$
→ 6 × 2 = 12 → 1 × 2 =
2
5.
$\frac{5}{6} = \frac{?}{12}$
→ 6 × 2 = 12 → 5 × 2 =
10
6.
$\frac{2}{3} = \frac{?}{24}$
→ 3 × 8 = 24 → 2 × 8 =
16
7.
$\frac{1}{6} = \frac{?}{24}$
→ 6 × 4 = 24 → 1 × 4 =
4
8.
$\frac{1}{3} = \frac{?}{24}$
→ 3 × 8 = 24 → 1 × 8 =
8
9.
$\frac{5}{6} = \frac{?}{24}$
→ 6 × 4 = 24 → 5 × 4 =
20
10.
$\frac{1}{12} = \frac{?}{24}$
→ 12 × 2 = 24 → 1 × 2 =
2
11.
$\frac{5}{12} = \frac{?}{24}$
→ 12 × 2 = 24 → 5 × 2 =
10
12.
$\frac{11}{12} = \frac{?}{24}$
→ 12 × 2 = 24 → 11 × 2 =
22
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Final Answer:
1. 2
2. 4
3. 4
4. 2
5. 10
6. 16
7. 4
8. 8
9. 20
10. 2
11. 10
12. 22
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet 4th grade.