Multiplying and Dividing Fractions Quiz

Grade 6 · Math · Quiz

Test your skills multiplying and dividing fractions and mixed numbers.

Questions

1. What is 2/5 × 5/8?

   1. 1/4
   2. 10/40
   3. 2/8
   4. 7/13
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   Answer: 1/4

   2/5 × 5/8. Cross-cancel 5s: 2/1 × 1/8 = 2/8 = 1/4.

2. The reciprocal of 4/9 is ___.

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   Answer: 9/4

   Flip 4/9 to get 9/4. Check: 4/9 × 9/4 = 36/36 = 1 ✓

3. What is 7/8 ÷ 7/4?

   1. 1/2
   2. 49/32
   3. 2
   4. 4/8
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   Answer: 1/2

   KCF: 7/8 × 4/7. Cross-cancel 7s and 4/8: 1/2 × 1/1 = 1/2.

4. 2/3 × 3/2 = 1

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   Answer: True

   Reciprocals multiply to 1. 2/3 × 3/2 = 6/6 = 1.

5. Convert 3 2/5 to an improper fraction.

   1. 17/5
   2. 15/5
   3. 32/5
   4. 6/5
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   Answer: 17/5

   3×5=15, 15+2=17. So 3 2/5 = 17/5.

6. What is 4/5 ÷ 2?

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

   2 = 2/1. KCF: 4/5 × 1/2 = 4/10 = 2/5.

7. 3/4 × 8/15 = ___

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   Answer: 2/5

   Cross-cancel: 3/4 × 8/15. 3 and 15 → 1 and 5; 4 and 8 → 1 and 2. = 1/1 × 2/5 = 2/5.

8. When dividing two fractions, you always keep the first fraction unchanged.

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   Answer: True

   KCF: the K means Keep the first fraction unchanged. Only the second fraction gets flipped.

9. What is 2¼ ÷ 3/4?

   1. 3
   2. 9/16
   3. 5/4
   4. 2
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   Answer: 3

   Convert 2¼ → 9/4. KCF: 9/4 × 4/3. Cross-cancel 4s and 9 with 3: 3/1 × 1/1 = 3.

10. A recipe calls for 3/4 cup of sugar. If you make 2/3 of the recipe, how much sugar do you need?

    1. 1/2 cup
    2. 1/4 cup
    3. 3/2 cup
    4. 9/8 cup
    Show answer

    Answer: 1/2 cup

    Multiply: 3/4 × 2/3 = 6/12 = 1/2.

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