Fraction equivalence practice worksheet with visual fraction models.

I need to solve these fraction equivalence problems. Let me work through each one carefully.

Looking at the problems, I need to find the missing numbers that make the fractions equivalent.

Problem 1 (top left):
□/2 = 2/4
To check: 2/4 simplifies to 1/2
So □/2 = 1/2
Therefore □ = 1

Problem 2 (top right):
□/4 = 2/8
To check: 2/8 simplifies to 1/4
So □/4 = 1/4
Therefore □ = 1

Problem 3 (second row, left):
2/6 = □/3
To simplify 2/6: divide both by 2 = 1/3
So 1/3 = □/3
Therefore □ = 1

Problem 4 (second row, right):
□/2 = 3/6
To simplify 3/6: divide both by 3 = 1/2
So □/2 = 1/2
Therefore □ = 1

Problem 5 (third row, left):
4/8 = □/2
To simplify 4/8: divide both by 4 = 1/2
So 1/2 = □/2
Therefore □ = 1

Problem 6 (third row, right):
□/3 = 2/6
To simplify 2/6: divide both by 2 = 1/3
So □/3 = 1/3
Therefore □ = 1

Problem 7 (bottom left):
4/8 = □/2
This is the same as problem 5
4/8 = 1/2
So □ = 1

Problem 8 (bottom right):
□/4 = □/2
Wait, let me look more carefully. It shows:
□/4 = □/2

Actually, looking at the pattern and the visual representations, I need to reconsider this last one. The bottom right shows a box over 4 equals a box over 2.

Let me think about what makes sense here. If we're following the pattern of all the other problems where the answer is 1, then:
1/4 would not equal 1/2

Let me reconsider. Looking at the visual model for the bottom right problem, it seems like it might be asking for different values. But based on the pattern of all previous answers being 1, and checking if there's a consistent answer...

Actually, wait - let me look at this more carefully. The bottom right problem appears to have TWO boxes to fill in, not just one. So it's:
□/4 = □/2

For these to be equal, if the first box is 1, then 1/4 ≠ 1/2
If the first box is 2, then 2/4 = 1/2, so the second box would be 1

So: 2/4 = 1/2

Let me verify all my answers one more time:

1. 1/2 = 2/4 ✓ (both equal 0.5)
2. 1/4 = 2/8 ✓ (both equal 0.25)
3. 2/6 = 1/3 ✓ (both equal approximately 0.333)
4. 1/2 = 3/6 ✓ (both equal 0.5)
5. 4/8 = 1/2 ✓ (both equal 0.5)
6. 1/3 = 2/6 ✓ (both equal approximately 0.333)
7. 4/8 = 1/2 ✓ (both equal 0.5)
8. 2/4 = 1/2 ✓ (both equal 0.5)

Final Answer:
1. 1
2. 1
3. 1
4. 1
5. 1
6. 1
7. 1
8. 2 and 1 (or just 2 for the first box, 1 for the second box)