Let’s solve each fraction problem step by step. We’re looking for equivalent fractions — that means the two fractions represent the same value, even though they look different.
To find the missing number, we ask: “What did I multiply (or divide) the top or bottom by to get from one fraction to the other?” Then we do the same thing to the other part of the fraction.
---
Row 1:
1. $\frac{1}{3} = \frac{2}{6}$ → Already complete!
(1 × 2 = 2, and 3 × 2 = 6)
2. $\frac{2}{4} = \frac{1}{?}$
Top: 2 ÷ 2 = 1 → So bottom: 4 ÷ 2 =
2
Answer: $\frac{1}{2}$
3. $\frac{3}{4} = \frac{6}{?}$
Top: 3 × 2 = 6 → So bottom: 4 × 2 =
8
Answer: $\frac{6}{8}$
---
Row 2:
4. $\frac{1}{3} = \frac{3}{?}$
Top: 1 × 3 = 3 → Bottom: 3 × 3 =
9
Answer: $\frac{3}{9}$
5. $\frac{3}{7} = \frac{9}{?}$
Top: 3 × 3 = 9 → Bottom: 7 × 3 =
21
Answer: $\frac{9}{21}$
6. $\frac{5}{8} = \frac{25}{?}$
Top: 5 × 5 = 25 → Bottom: 8 × 5 =
40
Answer: $\frac{25}{40}$
---
Row 3:
7. $\frac{2}{5} = \frac{4}{?}$
Top: 2 × 2 = 4 → Bottom: 5 × 2 =
10
Answer: $\frac{4}{10}$
8. $\frac{2}{9} = \frac{4}{?}$
Top: 2 × 2 = 4 → Bottom: 9 × 2 =
18
Answer: $\frac{4}{18}$
9. $\frac{5}{6} = \frac{20}{?}$
Top: 5 × 4 = 20 → Bottom: 6 × 4 =
24
Answer: $\frac{20}{24}$
---
Row 4:
10. $\frac{3}{6} = \frac{?}{18}$
Bottom: 6 × 3 = 18 → Top: 3 × 3 =
9
Answer: $\frac{9}{18}$
11. $\frac{1}{4} = \frac{?}{12}$
Bottom: 4 × 3 = 12 → Top: 1 × 3 =
3
Answer: $\frac{3}{12}$
12. $\frac{4}{7} = \frac{?}{14}$
Bottom: 7 × 2 = 14 → Top: 4 × 2 =
8
Answer: $\frac{8}{14}$
---
Row 5:
13. $\frac{1}{8} = \frac{2}{?}$
Top: 1 × 2 = 2 → Bottom: 8 × 2 =
16
Answer: $\frac{2}{16}$
14. $\frac{3}{4} = \frac{9}{?}$
Top: 3 × 3 = 9 → Bottom: 4 × 3 =
12
Answer: $\frac{9}{12}$
15. $\frac{4}{5} = \frac{12}{?}$
Top: 4 × 3 = 12 → Bottom: 5 × 3 =
15
Answer: $\frac{12}{15}$
---
Row 6:
16. $\frac{1}{10} = \frac{2}{?}$
Top: 1 × 2 = 2 → Bottom: 10 × 2 =
20
Answer: $\frac{2}{20}$
17. $\frac{3}{5} = \frac{12}{?}$
Top: 3 × 4 = 12 → Bottom: 5 × 4 =
20
Answer: $\frac{12}{20}$
18. $\frac{8}{9} = \frac{24}{?}$
Top: 8 × 3 = 24 → Bottom: 9 × 3 =
27
Answer: $\frac{24}{27}$
---
Final Answer:
Here are all the completed equivalent fractions:
- $\frac{1}{3} = \frac{2}{6}$
- $\frac{2}{4} = \frac{1}{2}$
- $\frac{3}{4} = \frac{6}{8}$
- $\frac{1}{3} = \frac{3}{9}$
- $\frac{3}{7} = \frac{9}{21}$
- $\frac{5}{8} = \frac{25}{40}$
- $\frac{2}{5} = \frac{4}{10}$
- $\frac{2}{9} = \frac{4}{18}$
- $\frac{5}{6} = \frac{20}{24}$
- $\frac{3}{6} = \frac{9}{18}$
- $\frac{1}{4} = \frac{3}{12}$
- $\frac{4}{7} = \frac{8}{14}$
- $\frac{1}{8} = \frac{2}{16}$
- $\frac{3}{4} = \frac{9}{12}$
- $\frac{4}{5} = \frac{12}{15}$
- $\frac{1}{10} = \frac{2}{20}$
- $\frac{3}{5} = \frac{12}{20}$
- $\frac{8}{9} = \frac{24}{27}$
Parent Tip: Review the logic above to help your child master the concept of 3rd grade fraction worksheets.
