Equivalent Fractions Worksheet #1 - Practice finding equivalent fractions with 20 problems.

To find the missing numbers in these equivalent fraction problems, we need to figure out what number was used to multiply or divide the top and bottom numbers. Equivalent fractions represent the same value, so whatever you do to the top (numerator), you must do to the bottom (denominator).

Here is the step-by-step solution for each problem:

1. $\frac{?}{4} = \frac{24}{32}$
Look at the denominators (bottom numbers): $32 \div 8 = 4$.
Since we divided the bottom by 8, we must divide the top by 8.
$24 \div 8 = 3$.
Answer: 3

2. $\frac{?}{3} = \frac{5}{15}$
Look at the denominators: $15 \div 5 = 3$.
Divide the top by 5: $5 \div 5 = 1$.
Answer: 1

3. $\frac{3}{8} = \frac{?}{24}$
Look at the denominators: $8 \times 3 = 24$.
Multiply the top by 3: $3 \times 3 = 9$.
Answer: 9

4. $\frac{1}{8} = \frac{?}{56}$
Look at the denominators: $8 \times 7 = 56$.
Multiply the top by 7: $1 \times 7 = 7$.
Answer: 7

5. $\frac{?}{4} = \frac{10}{20}$
Look at the denominators: $20 \div 5 = 4$.
Divide the top by 5: $10 \div 5 = 2$.
Answer: 2

6. $\frac{?}{5} = \frac{24}{40}$
Look at the denominators: $40 \div 8 = 5$.
Divide the top by 8: $24 \div 8 = 3$.
Answer: 3

7. $\frac{?}{8} = \frac{50}{80}$
Look at the denominators: $80 \div 10 = 8$.
Divide the top by 10: $50 \div 10 = 5$.
Answer: 5

8. $\frac{?}{5} = \frac{27}{45}$
Look at the denominators: $45 \div 9 = 5$.
Divide the top by 9: $27 \div 9 = 3$.
Answer: 3

9. $\frac{1}{3} = \frac{?}{6}$
Look at the denominators: $3 \times 2 = 6$.
Multiply the top by 2: $1 \times 2 = 2$.
Answer: 2

10. $\frac{?}{8} = \frac{6}{16}$
Look at the denominators: $16 \div 2 = 8$.
Divide the top by 2: $6 \div 2 = 3$.
Answer: 3

11. $\frac{6}{8} = \frac{?}{56}$
Look at the denominators: $8 \times 7 = 56$.
Multiply the top by 7: $6 \times 7 = 42$.
Answer: 42

12. $\frac{?}{4} = \frac{8}{16}$
Look at the denominators: $16 \div 4 = 4$.
Divide the top by 4: $8 \div 4 = 2$.
Answer: 2

13. $\frac{1}{6} = \frac{?}{36}$
Look at the denominators: $6 \times 6 = 36$.
Multiply the top by 6: $1 \times 6 = 6$.
Answer: 6

14. $\frac{?}{3} = \frac{8}{12}$
Look at the denominators: $12 \div 4 = 3$.
Divide the top by 4: $8 \div 4 = 2$.
Answer: 2

15. $\frac{1}{3} = \frac{?}{30}$
Look at the denominators: $3 \times 10 = 30$.
Multiply the top by 10: $1 \times 10 = 10$.
Answer: 10

16. $\frac{3}{5} = \frac{?}{35}$
Look at the denominators: $5 \times 7 = 35$.
Multiply the top by 7: $3 \times 7 = 21$.
Answer: 21

17. $\frac{?}{3} = \frac{10}{15}$
Look at the denominators: $15 \div 5 = 3$.
Divide the top by 5: $10 \div 5 = 2$.
Answer: 2

18. $\frac{?}{8} = \frac{18}{24}$
Look at the denominators: $24 \div 3 = 8$.
Divide the top by 3: $18 \div 3 = 6$.
Answer: 6

19. $\frac{?}{8} = \frac{54}{72}$
Look at the denominators: $72 \div 9 = 8$.
Divide the top by 9: $54 \div 9 = 6$.
Answer: 6

20. $\frac{1}{4} = \frac{?}{36}$
Look at the denominators: $4 \times 9 = 36$.
Multiply the top by 9: $1 \times 9 = 9$.
Answer: 9

Final Answer:
1. 3
2. 1
3. 9
4. 7
5. 2
6. 3
7. 5
8. 3
9. 2
10. 3
11. 42
12. 2
13. 6
14. 2
15. 10
16. 21
17. 2
18. 6
19. 6
20. 9