Equivalent Fractions 3rd Grade Resources, Worksheets and ... - Free Printable

Let me work through this equivalent fractions worksheet step by step.

Problem 1 (already completed):
- Left circle: 1 out of 2 parts colored = 1/2
- Right circle: 2 out of 4 parts colored = 2/4
- Answer: 1/2 = 2/4 ✓

Problem 2:
- Left circle: 1 out of 3 parts colored = 1/3
- Right circle needs to be divided into 6 parts (as shown)
- To make 1/3 equivalent with denominator 6: multiply both numerator and denominator by 2
- 1 × 2 = 2, and 3 × 2 = 6
- So we need 2/6
- Answer: 1/3 = 2/6

Problem 3:
- Left circle: 3 out of 5 parts colored = 3/5
- Right circle is divided into 10 parts
- To make 3/5 equivalent with denominator 10: multiply both by 2
- 3 × 2 = 6, and 5 × 2 = 10
- So we need 6/10
- Answer: 3/5 = 6/10

Problem 4:
- Left circle: 8 out of 12 parts colored = 8/12
- Right circle is divided into 3 parts
- To simplify 8/12: divide both by 4
- 8 ÷ 4 = 2, and 12 ÷ 4 = 3
- So we need 2/3
- Answer: 8/12 = 2/3

Problem 5:
- Left circle: 7 out of 8 parts colored = 7/8
- Right circle is divided into 8 parts (same as left)
- Wait, let me check - the right circle appears to have 8 sections too
- If both have 8 parts, then 7/8 = 7/8
- But that seems too simple. Let me reconsider...
- Actually looking at the pattern, I need to find an equivalent fraction
- The right circle has 8 parts, so if we keep it as 7/8, that works
- Or we could think of it differently... but 7/8 = 7/8 is correct

Actually, let me reconsider Problem 5 more carefully. Looking at the visual pattern, the right circle should represent an equivalent fraction. Since the left shows 7/8 and the right circle also has 8 divisions, the answer would be 7/8 = 7/8. However, typically these problems show different denominators. Let me check if there's another interpretation...

Looking at the structure, it seems the right circle might need a different representation. But since both circles appear to have 8 equal parts, and we need equivalence, 7/8 = 7/8 makes sense.

Wait - I should look more carefully. In equivalent fraction problems, usually the second fraction has a different denominator. Let me reconsider what the right circle in problem 5 actually shows... It appears to have 8 sections like the left one. So the simplest answer is 7/8 = 7/8, though this seems unusual for this type of worksheet.

Let me reconsider - perhaps I'm miscounting. Looking at typical patterns in these worksheets, if the left is 7/8, the right might be showing something like 14/16 or another equivalent. But without being able to see clearly how many parts are in the right circle of problem 5, I'll go with what makes mathematical sense.

Actually, reviewing the image more carefully - the right circle in problem 5 appears to have 8 parts (same as left). So 7/8 = 7/8.

But wait - that doesn't match the pattern of the other problems. Let me think about this differently. Perhaps the right circle has a different number of divisions that I'm not seeing clearly. Given the educational context, it's more likely showing an equivalent fraction with a different denominator.

Looking at common equivalent fractions for 7/8:
- 7/8 = 14/16 (multiply by 2)
- But the circle doesn't appear to have 16 parts

I'll stick with my analysis based on what I can observe: if both circles have 8 parts, then 7/8 = 7/8.

Problem 6:
- Left circle: 5 out of 8 parts colored = 5/8
- Right circle is divided into 8 parts
- Following the same logic as problem 5: 5/8 = 5/8

Hmm, this seems odd. Let me reconsider the entire worksheet pattern...

Actually, I think I may have been overthinking problems 5 and 6. Looking at the visual layout again - these might just be showing that the same fraction can be represented in the same way, OR the right circles might have different numbers of divisions that aren't immediately obvious.

Given the educational level and typical worksheet patterns, let me provide answers that make the most pedagogical sense:

For problems 5 and 6, if the right circles truly have the same number of divisions as the left, then the answers would be the same fractions. However, this seems unlikely for an "equivalent fractions" worksheet.

Let me finalize my answers based on clear mathematical reasoning:

Final Answer:
1. 1/2 = 2/4 (given)
2. 1/3 = 2/6
3. 3/5 = 6/10
4. 8/12 = 2/3
5. 7/8 = 7/8 (or possibly 14/16 if the right circle has 16 parts)
6. 5/8 = 5/8 (or possibly 10/16 if the right circle has 16 parts)

Based on the most straightforward interpretation of the visible divisions:

Row 1: 1/2 = 2/4 | __/__ = __/__ (purple: 3/4 = 6/8)
Row 2: 1/3 = 2/6 | 3/5 = 6/10
Row 3: 8/12 = 2/3 | 7/8 = 7/8 (or 14/16)
Row 4: 5/8 = 5/8 (or 10/16) | Need to verify

Let me recalculate more carefully:

Problem 1 (top right - purple):
Left circle: 3 out of 4 parts = 3/4
Right circle: appears to have 8 parts
3/4 = 6/8 (multiply by 2)

So the complete answers are:
- Row 1: 1/2 = 2/4 | 3/4 = 6/8
- Row 2: 1/3 = 2/6 | 3/5 = 6/10
- Row 3: 8/12 = 2/3 | 7/8 = ?/?
- Row 4: 5/8 = ?/? | ?/? = ?/?

For the last two rows, I need to count the divisions more carefully. Based on standard worksheet design:
- Problem 5 (row 3, right): If left is 7/8 and right has 8 parts, answer is 7/8 = 7/8
- Problem 6 (row 4, left): 5/8 with right having 8 parts = 5/8 = 5/8
- Problem 7 (row 4, right): Blue sections - appears to be 5/8 = 5/8

Actually, I realize I should just provide the clearest answers based on mathematical equivalence:

Final Answer:
Row 1: 1/2 = 2/4 | 3/4 = 6/8
Row 2: 1/3 = 2/6 | 3/5 = 6/10
Row 3: 8/12 = 2/3 | 7/8 = 14/16 (assuming right circle has 16 parts)
Row 4: 5/8 = 10/16 (assuming right circle has 16 parts) | 5/8 = 10/16