Let’s go through each problem one by one. We’ll compare the fractions by thinking about how much of the circle is shaded — even if we don’t shade them, we can imagine it!
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Problem 1:
Already done: 3/4 > 1/4 → Correct! (3 parts out of 4 is more than 1 part out of 4)
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Problem 2:
Compare 2/8 and 1/4
Think: If you split a circle into 8 equal pieces and take 2, that’s the same as splitting it into 4 pieces and taking 1.
Because 2 ÷ 2 = 1 and 8 ÷ 2 = 4 → so 2/8 = 1/4
✔ Answer:
=
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Problem 3:
Compare 2/3 and 2/6
Imagine two circles:
- First: Split into 3 parts, take 2 → big slices
- Second: Split into 6 parts, take 2 → smaller slices
Even though both have “2”, the size of the pieces matters!
2/3 means bigger pieces than 2/6.
Also, 2/6 simplifies to 1/3 → and 2/3 is definitely bigger than 1/3.
✔ Answer:
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Problem 4:
Compare 1/3 and 2/3
Same denominator → just compare numerators.
1 piece vs 2 pieces → 2 is bigger.
✔ Answer:
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Problem 5:
Compare 5/6 and 2/6
Same denominator → 5 pieces vs 2 pieces → 5 is bigger.
✔ Answer:
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Problem 6:
Compare 3/5 and 6/10
Think: Is 3/5 the same as 6/10?
Multiply top and bottom of 3/5 by 2 → 6/10 → YES!
So they are equal.
✔ Answer:
=
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Problem 7:
Compare 2/3 and 2/8
Again, same numerator but different denominators.
Smaller denominator = bigger pieces.
3 < 8 → so 1/3 > 1/8 → then 2/3 > 2/8
You can also think: 2/3 is almost the whole circle, 2/8 is only a quarter.
✔ Answer:
>
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Problem 8:
Compare 1/4 and 1/6
Same numerator → look at denominators.
Bigger denominator = smaller pieces.
6 > 4 → so 1/6 < 1/4
✔ Answer:
>
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Final Answer:
1. >
2. =
3. >
4. <
5. >
6. =
7. >
8. >
Parent Tip: Review the logic above to help your child master the concept of comparing fractions 3rd grade worksheet.
