Mixed Numbers and Improper Fractions Quiz

Grade 4 · Math · Quiz

Test your ability to identify and convert mixed numbers and improper fractions.

Questions

1. What is 13/4 as a mixed number?

   1. 3 1/4
   2. 3 3/4
   3. 2 3/4
   4. 4 1/4
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   Answer: 3 1/4

   13 ÷ 4 = 3 remainder 1. So 13/4 = 3 1/4.

2. An improper fraction always has a numerator larger than its denominator.

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   Answer: False

   An improper fraction can also have numerator equal to denominator (like 4/4 = 1). The numerator must be greater than OR equal to the denominator.

3. 4 1/3 as an improper fraction is ___/3.

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   Answer: 13

   (4 × 3) + 1 = 13. So 4 1/3 = 13/3.

4. Which of these is a mixed number?

   1. 8/5
   2. 3 2/7
   3. 12/4
   4. 10/10
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   Answer: 3 2/7

   3 2/7 is a mixed number because it combines a whole number (3) and a fraction (2/7).

5. What is 2 5/6 as an improper fraction?

   1. 15/6
   2. 17/6
   3. 12/6
   4. 14/6
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   Answer: 17/6

   (2 × 6) + 5 = 12 + 5 = 17. So 2 5/6 = 17/6.

6. 6/6 is equal to 1.

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   Answer: True

   When numerator equals denominator, the fraction equals 1 whole. 6/6 = 1.

7. 15/4 as a mixed number is ___ 3/4.

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   Answer: 3

   15 ÷ 4 = 3 remainder 3. So 15/4 = 3 3/4.

8. Alex ate 2 1/2 hot dogs. As an improper fraction that is:

   1. 3/2
   2. 4/2
   3. 5/2
   4. 6/2
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   Answer: 5/2

   (2 × 2) + 1 = 5. So 2 1/2 = 5/2.

9. 7/3 = 2 1/3

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   Answer: True

   7 ÷ 3 = 2 remainder 1. So 7/3 = 2 1/3.

10. Convert 3 4/5 to an improper fraction: ___/5.

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    Answer: 19

    (3 × 5) + 4 = 15 + 4 = 19. So 3 4/5 = 19/5.

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