Math worksheet for practicing equivalent fractions using visual circle models.

Let’s go through each problem one by one. We’re looking for equivalent fractions — that means two fractions that represent the same amount, even if they look different.

We’ll check each pair to see if they are truly equivalent. If not, we’ll fix them or confirm they are correct.

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Problem 1:
Given:
2/8 = 4/16

Check:
Simplify 2/8 → divide numerator and denominator by 2 → 1/4
Simplify 4/16 → divide numerator and denominator by 4 → 1/4
✔ They are equal. So this is correct.

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Problem 2:
Given:
1/2 = 2/4

Check:
2/4 simplifies to 1/2 (divide top and bottom by 2)
✔ Correct.

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Problem 3:
Given:
4/8 = 1/2

Check:
4/8 simplifies to 1/2 (divide by 4)
✔ Correct.

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Problem 4:
Given:
1/3 = 2/6

Check:
2/6 simplifies to 1/3 (divide by 2)
✔ Correct.

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Problem 5:
Given:
1/3 = 3/9

Check:
3/9 simplifies to 1/3 (divide by 3)
✔ Correct.

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Problem 6:
Given:
4/16 = 1/4

Check:
4/16 simplifies to 1/4 (divide by 4)
✔ Correct.

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Problem 7:
Given:
4/6 = 2/3

Check:
4/6 simplifies to 2/3 (divide by 2)
✔ Correct.

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Wait — all of these are already correct? Let me double-check Problem 7 again.

4/6 → divide numerator and denominator by 2 → 2/3 ✔️
Yes, it’s correct.

But let’s look at the diagrams too — maybe some need coloring?

The instruction says: “Color equivalent fractions as shown”

In the solved example, they colored 3 out of 4 parts in the first circle, and 6 out of 8 in the second — which matches 3/4 = 6/8.

So for each problem, we should color the circles to match the fractions given.

Let’s go back and think about what needs to be colored:

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Problem 1:
Left circle: 2/8 → color 2 out of 8 slices
Right circle: 4/16 → color 4 out of 16 slices
→ Both show 1/4 when simplified → so coloring 2/8 and 4/16 is correct.

Problem 2:
Left: 1/2 → color half the circle (1 out of 2 parts)
Right: 2/4 → color 2 out of 4 parts → same as half → correct.

Problem 3:
Left: 4/8 → color 4 out of 8 → half
Right: 1/2 → color 1 out of 2 → half → correct.

Problem 4:
Left: 1/3 → color 1 out of 3
Right: 2/6 → color 2 out of 6 → same as 1/3 → correct.

Problem 5:
Left: 1/3 → color 1 out of 3
Right: 3/9 → color 3 out of 9 → same as 1/3 → correct.

Problem 6:
Left: 4/16 → color 4 out of 16 → same as 1/4
Right: 1/4 → color 1 out of 4 → correct.

Problem 7:
Left: 4/6 → color 4 out of 6
Right: 2/3 → color 2 out of 3 → same amount → correct.

All problems are correctly matched. The student just needs to color the circles according to the fractions written below them.

Since the question asks to “solve the problem accurately”, and all fraction pairs are mathematically equivalent, the answer is that all given equations are correct.

Final Answer: All fraction pairs are equivalent and correctly matched. Color the circles as indicated by the numerators:
1) Color 2/8 and 4/16
2) Color 1/2 and 2/4
3) Color 4/8 and 1/2
4) Color 1/3 and 2/6
5) Color 1/3 and 3/9
6) Color 4/16 and 1/4
7) Color 4/6 and 2/3