Grade 4 Math Practice Test: Adding and Subtracting Mixed Numbers
- Adding and Subtracting Mixed Numbers
- 10 questions
- 12 minutes
These 10 questions add and subtract mixed numbers that have the same denominator. Tip: the denominator stays the same; when you cannot subtract the fraction parts, trade 1 whole for fractional parts first.
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.
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Question 1
What is 2 15 + 1 35?
Correct answer: B
Add the wholes (2 + 1 = 3) and the fifths (1/5 + 3/5 = 4/5) to get 3 4/5. The denominator stays 5; 4/10 adds the denominators by mistake.
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Question 2
What is 4 56 − 2 16?
Correct answer: C
Subtract the wholes (4 − 2 = 2) and the sixths (5/6 − 1/6 = 4/6) to get 2 4/6. 6 4/6 adds the wholes instead of subtracting them.
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Question 3
What is 1 34 + 2 34?
Correct answer: A
1 + 2 = 3 wholes and 3/4 + 3/4 = 6/4 = 1 2/4, so the total is 4 2/4. 3 2/4 forgets the extra whole made by the fourths.
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Question 4
What is 5 − 1 23?
Correct answer: D
Write 5 as 4 3/3. Then 4 3/3 − 1 2/3 = 3 1/3. 4 1/3 forgets that one whole was traded for thirds.
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Question 5
What is 3 18 − 1 58?
Correct answer: D
1/8 is less than 5/8, so trade a whole: 3 1/8 = 2 9/8. Then 2 9/8 − 1 5/8 = 1 4/8. 2 4/8 subtracts 5 − 1 in the eighths, the wrong way around.
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Question 6
Kim hiked 2 310 miles in the morning and 1 410 miles in the afternoon. How far did she hike in all?
Correct answer: A
2 + 1 = 3 miles and 3/10 + 4/10 = 7/10, so she hiked 3 7/10 miles. 3 7/20 wrongly adds the denominators.
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Question 7
A board is 5 78 feet long. Mr. Park cuts off 2 38 feet. How long is the rest of the board?
Correct answer: B
Subtract: 5 − 2 = 3 and 7/8 − 3/8 = 4/8, so 3 4/8 feet are left. 8 2/8 feet is the sum, but a piece was cut off.
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Question 8
Which sum is equal to 4?
Correct answer: D
2 + 1 = 3 and 1/3 + 2/3 = 3/3 = 1, so the sum is 4. The other sums are 5, 3 2/3 and 5.
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Question 9
What is 7 25 − 3 45?
Correct answer: C
2/5 is less than 4/5, so trade a whole: 7 2/5 = 6 7/5. Then 6 7/5 − 3 4/5 = 3 3/5. 4 2/5 subtracts 4 − 2 in the fifths instead of regrouping.
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Question 10
What number goes in the box?
2 14 + ☐ = 5
Correct answer: A
Subtract: 5 − 2 1/4 = 4 4/4 − 2 1/4 = 2 3/4. Check: 2 1/4 + 2 3/4 = 5. 3 3/4 forgets that one whole was used to make fourths.
Questions you leave blank are not counted as wrong.
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