Grade 5 Math Practice Test: Multiplying and Dividing Fractions
- Multiplying and Dividing Fractions
- 12 questions
- 15 minutes
This test covers multiplying fractions and mixed numbers, area with fraction sides, multiplication as scaling, and dividing unit fractions by whole numbers and whole numbers by unit fractions. Tip: multiplying by a fraction less than 1 makes a number smaller.
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 × 35?
Correct answer: C
Multiply the numerators and the denominators: 2 × 33 × 5 = 615 = 25. 58 comes from adding the tops and the bottoms.
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Question 2
What is 34 × 12?
Correct answer: D
34 of 12 means 12 ÷ 4 = 3, then 3 × 3 = 9. 16 comes from dividing 12 by 34 instead of multiplying.
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Question 3
A rectangular tile is 34 foot long and 23 foot wide. What is its area?
Correct answer: A
Area = length × width = 34 × 23 = 612 = 12 square foot. 1512 is the sum of the two sides, not the product.
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Question 4
Without multiplying, which product is less than 8?
Correct answer: C
Multiplying by a fraction less than 1 gives a product less than the starting number. 56 is less than 1, so 8 × 56 < 8. 8 × 1 equals 8, and the other factors are greater than 1.
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Question 5
What is 212 × 113?
Correct answer: D
Change to improper fractions: 52 × 43 = 206 = 313. 216 comes from multiplying only the whole numbers and only the fractions.
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Question 6
What is 5 ÷ 14?
Correct answer: A
Ask how many fourths fit in 5 wholes. Each whole has 4 fourths, so 5 wholes have 5 × 4 = 20 fourths. 54 is 5 ÷ 4, not 5 ÷ 14.
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Question 7
Three friends share 12 pound of grapes equally. How many pounds of grapes does each friend get?
Correct answer: A
12 ÷ 3 = 16, because 3 × 16 = 36 = 12. 112 comes from multiplying by 3 instead of dividing.
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Question 8
A pitcher holds 4 cups of juice. How many 13-cup servings can be poured from it?
Correct answer: B
4 ÷ 13 = 4 × 3 = 12, since each cup holds 3 thirds. 43 is 4 ÷ 3, which would be the size of a serving if there were only 3 servings.
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Question 9
A recipe needs 34 cup of sugar. Lina makes 23 of the recipe. How much sugar does she need?
Correct answer: D
Find 23 of 34: 23 × 34 = 612 = 12 cup. 118 comes from dividing 34 by 23.
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Question 10
Ben had 35 of a pizza left. He ate 12 of what was left. What fraction of the whole pizza did Ben eat?
Correct answer: B
Half of 35 is 12 × 35 = 310. 110 is the difference 35 − 12, which answers a different question.
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Question 11
A hiking trail is 6 miles long. Jo has walked 23 of the trail. How many miles has she walked?
Correct answer: C
23 × 6: one third of 6 is 2, so two thirds is 4 miles. 9 miles comes from 6 ÷ 23. 2 miles is only one third of the trail.
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Question 12
Which equation explains why 15 ÷ 2 = 110?
Correct answer: B
Division can be checked with multiplication: if 15 ÷ 2 = 110, then 110 × 2 must equal 15, and it does, since 210 = 15. 15 × 2 is 25, not 110.
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