Let’s go through each problem one by one. We’re comparing two fractions and need to put >, <, or = between them.
We can do this by:
- Looking at the pictures (they show how much is shaded)
- Or converting improper fractions to mixed numbers
- Or finding a common denominator
But since the pictures are given, we’ll use them first — they make it easy!
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Problem 1:
Left: 5/4 → That’s 1 whole circle + 1/4 of another → So more than 1
Right: 3/2 → That’s 1 whole circle + 1/2 of another → Also more than 1
Compare 1/4 vs 1/2 → 1/2 is bigger → so 3/2 is bigger than 5/4
So:
5/4 < 3/2
*(Already filled in as example)*
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Problem 2:
Left: 7/6 → 1 whole + 1/6
Right: 4/5 → less than 1 whole (since 4 out of 5 parts)
Wait — 7/6 is MORE than 1, 4/5 is LESS than 1 → So 7/6 is bigger
So:
7/6 > 4/5
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Problem 3:
Left: 5/3 → 1 whole + 2/3
Right: 6/5 → 1 whole + 1/5
Now compare the extra parts: 2/3 vs 1/5
Which is bigger? Let’s think: 2/3 is almost a whole, 1/5 is small → 2/3 > 1/5
So 5/3 > 6/5
Answer:
5/3 > 6/5
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Problem 4:
Left: 3/6 → that’s half → 0.5
Right: 7/4 → 1 whole + 3/4 → way more than 1
So 3/6 < 7/4
Answer:
3/6 < 7/4
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Problem 5:
Left: 3/2 → 1 whole + 1/2
Right: 8/6 → simplify: divide top and bottom by 2 → 4/3 → which is 1 whole + 1/3
Now compare 1/2 vs 1/3 → 1/2 is bigger → so 3/2 > 4/3 → so 3/2 > 8/6
Answer:
3/2 > 8/6
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Problem 6:
Left: 4/3 → 1 whole + 1/3
Right: 9/8 → 1 whole + 1/8
Compare 1/3 vs 1/8 → 1/3 is bigger → so 4/3 > 9/8
Answer:
4/3 > 9/8
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Problem 7:
Left: 7/12 → less than 1 (since 7 < 12)
Right: 6/4 → simplify: 3/2 → 1 whole + 1/2 → more than 1
So 7/12 < 6/4
Answer:
7/12 < 6/4
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Problem 8:
Left: 11/6 → 1 whole + 5/6
Right: 4/3 → 1 whole + 1/3
Compare 5/6 vs 1/3 → 1/3 = 2/6 → so 5/6 > 2/6 → so 11/6 > 4/3
Answer:
11/6 > 4/3
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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 fractions greater than 1 3rd grade worksheet.
