Fraction comparison worksheet with 20 problems requiring students to insert the correct comparison symbol between pairs of fractions.

To compare fractions, we need to see which one is bigger, smaller, or if they are equal. Here is the step-by-step logic for each problem:

1) 1/3 vs 7/8: 1/3 is less than half (0.33), and 7/8 is almost 1 (0.875). So, 1/3 < 7/8.
2) 1/6 vs 3/4: 1/6 is a small piece (0.16), and 3/4 is three big pieces (0.75). So, 1/6 < 3/4.
3) 3/8 vs 2/4: Let's make the bottom numbers the same. 2/4 is the same as 4/8. Since 3 is less than 4, 3/8 < 4/8. So, 3/8 < 2/4.
4) 4/5 vs 4/8: The top numbers are the same (4). When the tops are the same, the fraction with the smaller bottom number is bigger. 5 is smaller than 8, so 4/5 is bigger. So, 4/5 > 4/8.
5) 1/4 vs 1/2: The top numbers are the same (1). The smaller bottom number means bigger pieces. 2 is smaller than 4, so 1/2 is bigger. So, 1/4 < 1/2.
6) 1/6 vs 4/5: 1/6 is very small (close to 0). 4/5 is very large (close to 1). So, 1/6 < 4/5.
7) 1/2 vs 2/6: Simplify 2/6 by dividing top and bottom by 2, which gives 1/3. Now compare 1/2 and 1/3. Half is bigger than a third. So, 1/2 > 2/6.
8) 3/4 vs 2/6: Simplify 2/6 to 1/3. 3/4 is almost 1, while 1/3 is small. So, 3/4 > 2/6.
9) 1/3 vs 1/3: They are exactly the same. So, 1/3 = 1/3.
10) 2/3 vs 2/4: Top numbers are the same (2). Smaller bottom number (3) means bigger fraction. So, 2/3 > 2/4.
11) 1/8 vs 3/4: Change 3/4 to eighths. Multiply top and bottom by 2 to get 6/8. Compare 1/8 and 6/8. 1 is less than 6. So, 1/8 < 3/4.
12) 2/4 vs 1/3: Simplify 2/4 to 1/2. Compare 1/2 and 1/3. Half is bigger than a third. So, 2/4 > 1/3.
13) 1/6 vs 3/5: Find a common denominator (30). 1/6 becomes 5/30. 3/5 becomes 18/30. 5 is less than 18. So, 1/6 < 3/5.
14) 5/8 vs 4/8: Bottom numbers are the same. Compare tops: 5 is bigger than 4. So, 5/8 > 4/8.
15) 1/3 vs 2/3: Bottom numbers are the same. Compare tops: 1 is less than 2. So, 1/3 < 2/3.
16) 3/5 vs 1/2: Convert to decimals or common denominators. 3/5 is 0.6. 1/2 is 0.5. 0.6 is bigger. So, 3/5 > 1/2.
17) 2/5 vs 2/3: Top numbers are the same (2). Smaller bottom number (3) means bigger fraction. So, 2/5 < 2/3.
18) 1/2 vs 5/6: Change 1/2 to sixths. Multiply top and bottom by 3 to get 3/6. Compare 3/6 and 5/6. 3 is less than 5. So, 1/2 < 5/6.
19) 1/6 vs 2/5: Common denominator is 30. 1/6 becomes 5/30. 2/5 becomes 12/30. 5 is less than 12. So, 1/6 < 2/5.
20) 1/8 vs 1/2: Top numbers are the same (1). Smaller bottom number (2) means bigger fraction. So, 1/8 < 1/2.

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