Equivalent Fractions Quiz

Grade 4 · Math · Quiz

Test your understanding of equivalent fractions, simplifying, and comparing fractions.

Questions

1. Which fraction is equivalent to 2/5?

   1. 4/8
   2. 4/10
   3. 3/7
   4. 6/12
   Show answer

   Answer: 4/10

   2/5 × (2/2) = 4/10. Multiply numerator and denominator by 2.

2. What is 10/15 simplified to its lowest terms?

   1. 5/7
   2. 2/5
   3. 2/3
   4. 3/5
   Show answer

   Answer: 2/3

   GCF of 10 and 15 is 5. 10 ÷ 5 = 2 and 15 ÷ 5 = 3, so 10/15 = 2/3.

3. Maria ate 2/4 of a pizza and Jake ate 3/6 of an identical pizza. Who ate more?

   1. Maria ate more
   2. Jake ate more
   3. They ate the same amount
   4. Cannot be determined
   Show answer

   Answer: They ate the same amount

   2/4 simplifies to 1/2 and 3/6 also simplifies to 1/2. They ate the same amount.

4. Fill in the missing numerator: 3/7 = ___/21

   Show answer

   Answer: 9

   The denominator went from 7 to 21, multiplied by 3. So the numerator: 3 × 3 = 9.

5. Which of the following is NOT equivalent to 1/4?

   1. 2/8
   2. 3/12
   3. 4/16
   4. 5/16
   Show answer

   Answer: 5/16

   1/4 × 4 = 4/16. But 5/16 cannot be made from 1/4 since 5 is not a multiple of 1. 5/16 ≠ 1/4.

6. What is the GCF of 6 and 10?

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

   Factors of 6: 1, 2, 3, 6. Factors of 10: 1, 2, 5, 10. The greatest common factor is 2.

7. 4/6 and 6/9 are equivalent fractions.

   Show answer

   Answer: True

   4/6 simplifies to 2/3 (÷2) and 6/9 simplifies to 2/3 (÷3). Both equal 2/3, so they are equivalent.

8. A recipe calls for 3/8 cup of sugar. Which amount is the same?

   1. 6/12 cup
   2. 6/16 cup
   3. 9/24 cup
   4. 6/24 cup
   Show answer

   Answer: 6/16 cup

   3/8 × (2/2) = 6/16. Check: 6/16 simplifies back to 3/8. ✓

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