Pre-Algebra Practice Test: Fractions and Mixed Numbers
- Fractions and Mixed Numbers
- 10 questions
- 14 minutes
This test covers all four operations with fractions and mixed numbers, converting between forms and comparing fractions. Tip: to divide by a fraction, multiply by its reciprocal.
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 23 + 14?
Correct answer: D
Use the common denominator 12: 8/12 + 3/12 = 11/12. Adding tops and bottoms separately (3/7) is the classic mistake.
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Question 2
What is 56 − 12?
Correct answer: B
Write 1/2 as 3/6: 5/6 − 3/6 = 2/6, which simplifies to 1/3.
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Question 3
What is 34 × 89?
Correct answer: A
Multiply tops and bottoms: 24/36 = 2/3. The answer 27/32 comes from dividing instead of multiplying.
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Question 4
What is 25 ÷ 415?
Correct answer: C
Multiply by the reciprocal: 2/5 × 15/4 = 30/20 = 3/2 = 1 1/2. Multiplying without flipping gives 8/75.
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Question 5
Which improper fraction is equal to 3 25?
Correct answer: B
Multiply the whole number by the denominator and add the numerator: 3 × 5 + 2 = 17, so the fraction is 17/5.
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Question 6
What is 2 13 + 1 34?
Correct answer: A
As improper fractions: 7/3 + 7/4 = 28/12 + 21/12 = 49/12 = 4 1/12. The answer 3 1/12 forgets to carry the extra whole from 13/12.
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Question 7
What is 4 15 − 1 35?
Correct answer: C
Since 1/5 is less than 3/5, rename: 21/5 − 8/5 = 13/5 = 2 3/5. The answer 3 2/5 subtracts the fractions in the wrong order.
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Question 8
A recipe uses 34 cup of flour per batch. How much flour is needed for 2 12 batches?
Correct answer: D
Multiply: 3/4 × 5/2 = 15/8 = 1 7/8 cups. Adding 3/4 + 2 1/2 = 3 1/4 uses the wrong operation.
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Question 9
Which fraction is the greatest?
Correct answer: B
As decimals: 2/3 ≈ 0.667, 5/8 = 0.625, 3/5 = 0.6 and 7/12 ≈ 0.583, so 2/3 is the greatest.
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Question 10
A rope 6 34 feet long is cut into pieces that are each 34 foot long. How many pieces are there?
Correct answer: C
Divide: 6 3/4 ÷ 3/4 = 27/4 × 4/3 = 9. Dividing only the whole number 6 by 3/4 gives 8.
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