Comparing Fractions Quiz

Grade 3 · Math · Quiz

Test your ability to compare fractions using symbols and benchmark strategies.

Questions

1. Which is greater: 2/3 or 2/5?

   1. 2/3
   2. 2/5
   3. They are equal
   4. Cannot tell
   Show answer

   Answer: 2/3

   Same numerator (2): smaller denominator means bigger pieces. Thirds > fifths, so 2/3 > 2/5.

2. 4/6 is equal to 2/3.

   Show answer

   Answer: True

   4/6 simplifies: divide top and bottom by 2 → 2/3. Equal.

3. Which symbol goes between 1/4 and 3/4? 1/4 ___ 3/4

   1. >
   2. <
   3. =
   4. None
   Show answer

   Answer: <

   Same denominator: 1 < 3, so 1/4 < 3/4.

4. 3/6 is equal to ___.

   Show answer

   Answer: 1/2

   3 is half of 6, so 3/6 = 1/2.

5. Which fraction is less than 1/2?

   1. 3/4
   2. 5/8
   3. 2/6
   4. 4/6
   Show answer

   Answer: 2/6

   2/6 = 1/3 ≈ 0.33, which is less than 0.5. The others are all greater than 1/2.

6. 1/8 < 1/6 because 8 is a bigger number than 6.

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   Answer: False

   Same numerator (1): smaller denominator = bigger piece. 1/6 > 1/8 because sixths are bigger than eighths.

7. Order from greatest to least: 1/3, 2/3, 1/6

   1. 2/3, 1/3, 1/6
   2. 1/3, 2/3, 1/6
   3. 1/6, 1/3, 2/3
   4. 2/3, 1/6, 1/3
   Show answer

   Answer: 2/3, 1/3, 1/6

   2/3 ≈ 0.67 > 1/3 ≈ 0.33 > 1/6 ≈ 0.17.

8. 4/8 compared to 1/2: 4/8 ___ 1/2

   Show answer

   Answer: =

   4/8 simplifies to 1/2 by dividing both by 4.

9. Which is larger: 5/6 or 3/6?

   1. 3/6
   2. 5/6
   3. Equal
   4. Cannot compare
   Show answer

   Answer: 5/6

   Same denominator (6): 5 pieces > 3 pieces.

10. When two fractions have the same numerator, the one with the larger denominator is greater.

    Show answer

    Answer: False

    With the same numerator, the LARGER denominator means SMALLER pieces, so the fraction is actually LESS.

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