Grade 6 Math Practice Test: Dividing Fractions by Fractions
- Dividing Fractions by Fractions
- 10 questions
- 15 minutes
This test practices dividing fractions and mixed numbers by fractions and solving word problems such as "how many servings fit". Tip: to divide by a fraction, multiply by its reciprocal, and turn mixed numbers into fractions 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 34 ÷ 18?
Correct answer: B
34 ÷ 18 = 34 × 81 = 244 = 6. Another way: 34 = 68, which holds six eighths. 332 multiplies instead of dividing.
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Question 2
What is 23 ÷ 45?
Correct answer: D
23 × 54 = 1012 = 56. 65 flips the first fraction instead of the divisor, which gives the reciprocal of the correct answer.
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Question 3
What is 2 12 ÷ 34?
Correct answer: C
2 12 = 52, and 52 × 43 = 206 = 3 13. 1 78 multiplies 52 by 34 instead of dividing.
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Question 4
A tub holds 4 cups of yogurt. One serving is 23 cup.
How many servings are in the tub?
Correct answer: A
4 ÷ 23 = 4 × 32 = 6 servings. 2 23 multiplies 4 by 23, which would be less than 4 servings even though each serving is less than a cup.
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Question 5
A rectangle has an area of 35 square meter. Its length is 34 meter.
What is its width?
Correct answer: B
Width = area ÷ length = 35 ÷ 34 = 35 × 43 = 1215 = 45 meter. Check: 34 × 45 = 35. 920 multiplies the two numbers.
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Question 6
Which question can be answered by finding 12 ÷ 16?
Correct answer: D
12 ÷ 16 asks how many groups of 16 fit into 12; the answer is 3 bags. Sharing among 6 friends is 12 ÷ 6, and "16 of" means multiplication.
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Question 7
What is 3 34 ÷ 1 14?
Correct answer: A
3 34 = 154 and 1 14 = 54. 154 ÷ 54 = 154 × 45 = 3. 4 1116 multiplies the two mixed numbers instead.
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Question 8
Jo walks 34 mile in 13 hour at a steady pace.
At this rate, how many miles does she walk in one hour?
Correct answer: C
Miles per hour = 34 ÷ 13 = 34 × 3 = 94 = 2 14 miles. 49 divides the hours by the miles, which gives hours per mile.
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Question 9
Without calculating, which expression has a value greater than 5?
Correct answer: A
Dividing by a number less than 1 makes the result bigger, so 5 ÷ 23 = 7 12. 5 ÷ 32 and 5 × 23 are less than 5, and 5 ÷ 1 equals 5.
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Question 10
What number makes this equation true? ▢ ÷ 25 = 34
Correct answer: C
Undo the division by multiplying: 34 × 25 = 620 = 310. Check: 310 ÷ 25 = 310 × 52 = 1520 = 34. 158 divides 34 by 25 instead.
Questions you leave blank are not counted as wrong.
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