To compare fractions, we need to figure out which one is bigger, smaller, or if they are equal. Here is how we solve each problem step-by-step:
1)
3/4 vs 1/2: If you cut a pizza into 4 slices and take 3, that is more than half (which would be 2 slices). So, 3/4 is greater.
Answer:
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2)
1/2 vs 1/2: These are exactly the same number.
Answer:
=
3)
1/4 vs 1/3: Imagine sharing a cake. If you share it with 4 people, you get a smaller piece than if you share it with only 3 people. So, 1/4 is smaller.
Answer:
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4)
2/3 vs 2/4: The numerators (top numbers) are the same. When top numbers are the same, the fraction with the *smaller* bottom number is actually bigger because the pieces are larger. 3 is smaller than 4, so 2/3 is bigger.
Answer:
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5)
1/4 vs 1/2: Half of something is always bigger than a quarter of it.
Answer:
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6)
1/4 vs 2/3: 1/4 is a small piece (less than half). 2/3 is a large piece (more than half). So, 1/4 is smaller.
Answer:
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7)
3/4 vs 2/3: To compare these, let's make the bottom numbers the same. The common number for 4 and 3 is 12.
- 3/4 becomes 9/12.
- 2/3 becomes 8/12.
Since 9 is bigger than 8, 3/4 is bigger.
Answer:
>
8)
1/3 vs 1/3: These are identical.
Answer:
=
9)
1/3 vs 3/4: 1/3 is less than half. 3/4 is more than half. So, 1/3 is smaller.
Answer:
<
10)
2/3 vs 2/3: These are identical.
Answer:
=
11)
2/3 vs 1/2: 2/3 is more than half. 1/2 is exactly half. So, 2/3 is bigger.
Answer:
>
12)
1/2 vs 1/2: These are identical.
Answer:
=
13)
1/4 vs 2/4: The bottom numbers are the same. We just look at the top. 1 is smaller than 2.
Answer:
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14)
1/3 vs 1/2: Sharing with 3 people gives you a smaller piece than sharing with 2 people. So, 1/3 is smaller.
Answer:
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15)
2/3 vs 2/3: These are identical.
Answer:
=
16)
1/4 vs 3/4: The bottom numbers are the same. 1 is smaller than 3.
Answer:
<
17)
1/4 vs 2/4: The bottom numbers are the same. 1 is smaller than 2.
Answer:
<
18)
1/2 vs 1/2: These are identical.
Answer:
=
19)
2/3 vs 1/3: The bottom numbers are the same. 2 is bigger than 1.
Answer:
>
20)
1/2 vs 1/4: Half is bigger than a quarter.
Answer:
>
Final Answer:
1) >
2) =
3) <
4) >
5) <
6) <
7) >
8) =
9) <
10) =
11) >
12) =
13) <
14) <
15) =
16) <
17) <
18) =
19) >
20) >
Parent Tip: Review the logic above to help your child master the concept of comparing fractions worksheet with pictures.
