Let’s solve each problem step by step. We’re looking for the numerator that makes the two fractions equal (equivalent). To do this, we ask: “What number times the bottom of the first fraction gives me the bottom of the second fraction?” Then we multiply the top by that same number.
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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 finding equivalent fractions worksheet 4th grade.