Grade 5 Math Practice Test: Adding and Subtracting Fractions with Unlike Denominators
- Adding and Subtracting Fractions with Unlike Denominators
- 10 questions
- 15 minutes
This test practices finding a common denominator, adding and subtracting fractions and mixed numbers, and checking whether an answer is reasonable. Tip: never add or subtract the denominators.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
Your result
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Question 1
What is 12 + 15?
Correct answer: D
Use the common denominator 10: 510 + 210 = 710. 27 adds the numerators and the denominators, which is a common mistake.
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Question 2
What is 56 − 38?
Correct answer: A
Use 24 as the common denominator: 2024 − 924 = 1124. 22 subtracts tops and bottoms separately.
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Question 3
What is 2 12 + 1 23?
Correct answer: C
12 + 23 = 36 + 46 = 76 = 1 16. Then 2 + 1 + 1 16 = 4 16. 3 16 forgets to carry the extra whole.
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Question 4
What is 4 15 − 1 12?
Correct answer: B
15 is less than 12, so regroup: 4 15 = 3 1210. Then 3 1210 − 1 510 = 2 710. 3 310 subtracts 15 from 12 the wrong way around.
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Question 5
Maya walked 34 mile to the park and then 23 mile to the library.
How far did she walk in all?
Correct answer: B
912 + 812 = 1712 = 1 512 miles. 57 adds tops and bottoms, and it is even less than 34 mile, which cannot be right.
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Question 6
Which pair shows 23 and 35 rewritten with a common denominator?
Correct answer: D
Multiply the top and bottom of 23 by 5 to get 1015, and of 35 by 3 to get 915. 215 and 315 change only the denominators, so their values change.
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Question 7
Ben says that 12 + 37 = 49.
Which reason shows that his answer cannot be right?
Correct answer: C
Adding 37 to 12 must give more than 12, yet 49 is less than 12. The correct sum is 1314. 49 is not greater than 1.
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Question 8
What fraction makes this equation true? 16 + ▢ = 34
Correct answer: A
Find 34 − 16 = 912 − 212 = 712. 1112 adds the two fractions instead of subtracting.
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Question 9
A recipe needs 2 12 cups of flour. Lena has 1 34 cups.
How much more flour does she need?
Correct answer: D
2 12 − 1 34 = 2 24 − 1 34 = 1 64 − 1 34 = 34 cup. 1 14 subtracts 12 from 34 instead of regrouping.
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Question 10
A ribbon is 5 meters long. Jada cuts off one piece that is 1 310 meters long and another piece that is 2 12 meters long.
How much ribbon is left?
Correct answer: C
The pieces use 1 310 + 2 510 = 3 810 = 3 45 meters. Then 5 − 3 45 = 1 15 meters. 3 45 is the ribbon used, not the ribbon left.
Questions you leave blank are not counted as wrong.
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