Fill in the missing numbers to make equivalent fractions on this educational worksheet.

Explanation:
We need to fill in the missing numbers so that each pair of fractions is equivalent. That means both fractions represent the same value.

To find the missing number, we use the idea of multiplying or dividing both the numerator and denominator by the same number (because that keeps the fraction equal).

Let’s go one by one:

1. $\frac{2}{6} = \frac{?}{3}$
Denominator went from 6 → 3 (÷2), so numerator must also ÷2: $2 ÷ 2 = 1$
✔ Answer: 1

2. $\frac{1}{2} = \frac{2}{?}$
Numerator went from 1 → 2 (×2), so denominator must also ×2: $2 × 2 = 4$
✔ Answer: 4

3. $\frac{1}{3} = \frac{3}{?}$
Numerator: 1 → 3 (×3), so denominator: $3 × 3 = 9$
✔ Answer: 9

4. $\frac{3}{4} = \frac{?}{8}$
Denominator: 4 → 8 (×2), so numerator: $3 × 2 = 6$
✔ Answer: 6

5. $\frac{2}{4} = \frac{?}{16}$
Denominator: 4 → 16 (×4), so numerator: $2 × 4 = 8$
✔ Answer: 8

6. $\frac{1}{2} = \frac{5}{?}$
Numerator: 1 → 5 (×5), so denominator: $2 × 5 = 10$
✔ Answer: 10

7. $\frac{4}{4} = \frac{?}{8}$
$\frac{4}{4} = 1$, so we want $?/8 = 1$ → numerator = 8
Or: multiply numerator and denominator by 2: $4×2 = 8$, $4×2 = 8$
✔ Answer: 8

8. $\frac{1}{6} = \frac{2}{?}$
Numerator: 1 → 2 (×2), so denominator: $6 × 2 = 12$
✔ Answer: 12

9. $\frac{1}{2} = \frac{?}{6}$
Denominator: 2 → 6 (×3), so numerator: $1 × 3 = 3$
✔ Answer: 3

10. $\frac{2}{6} = \frac{4}{?}$
Numerator: 2 → 4 (×2), so denominator: $6 × 2 = 12$
✔ Answer: 12

11. $\frac{1}{3} = \frac{?}{9}$
Denominator: 3 → 9 (×3), so numerator: $1 × 3 = 3$
✔ Answer: 3

12. $\frac{1}{5} = \frac{?}{15}$
Denominator: 5 → 15 (×3), so numerator: $1 × 3 = 3$
✔ Answer: 3

Let me double-check a few tricky ones:
- #7: $\frac{4}{4} = 1$, and $\frac{8}{8} = 1$ — correct.
- #10: $\frac{2}{6} = \frac{1}{3}$, and $\frac{4}{12} = \frac{1}{3}$ — correct.
- All others match when simplified.

Final Answer:
1. 1
2. 4
3. 9
4. 6
5. 8
6. 10
7. 8
8. 12
9. 3
10. 12
11. 3
12. 3