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Quizzes > Mathematics > Basic Math & Arithmetic

Take the Multiplying & Dividing Fractions Quiz Now!

Ready for the division of fractions quiz? Show off your skills!

Editorial: Review CompletedCreated By: Samara OnaUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style fraction division quiz illustration with cutout fractions numbers on coral background

Use this fraction division quiz to practice dividing fractions and mixed numbers, then simplify each answer. Get instant feedback on every step so you know what to fix before the next problem. When you're done, practice multiplying fractions to keep your skills sharp.

Compute 1/2 * 3/4. Simplify your answer.
3/8
3/4
1/6
5/8
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Compute 2/3 / 4/5. Simplify your answer.
3/10
10/9
8/15
5/6
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Simplify 5/6 * 3/5.
25/30
5/18
3/6
1/2
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Compute 7/8 / 7/16. Simplify your answer.
16/56
1/2
14/128
2
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Find 2/5 of 3/4. Simplify your answer.
2/9
5/12
6/9
3/10
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How many 2/3-cup servings are in 4 cups?
12
6
8
5
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Compute 5 / (2/5). Give your answer as an improper fraction.
2/25
5/2
25/2
10/25
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Compute (-3/4) * (2/5). Simplify your answer.
-5/12
-6/9
-3/10
3/10
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Compute (-2/3) / (-4/9). Simplify your answer.
2/3
3/2
-3/2
-2/3
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Simplify 4/9 * 27/8.
3/2
9/16
27/72
4/3
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Compute 10/3 / 5/6.
3/2
8/15
4
12/25
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Compute 1 1/2 * 2/3. Give the result as a simplified fraction.
1
3/2
5/6
2/3
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The sides of a rectangle are 5/6 m and 3/5 m. What is its area in square meters?
1/2
25/18
15/36
8/11
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A recipe calls for 2/3 cup sugar. You make 3/4 of the recipe. How much sugar do you use?
3/4 cup
2/9 cup
1/2 cup
5/6 cup
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Compute 3 1/4 / 1/2. Simplify your answer as an improper fraction.
13/2
6 1/2
25/8
13/4
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Simplify 11/14 * 21/22.
33/28
21/308
11/22
3/4
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Compute 2 2/5 / 1 1/2. Simplify your answer as an improper fraction.
16/15
3/4
4/3
8/5
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Solve for x: x * 3/4 = 9/8. Give x as a simplified fraction.
12/32
2/3
9/32
3/2
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Compute (2/3) * (9/4) * (8/3). Simplify your answer.
3/8
8/3
16/9
4
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Compute 5/8 / 15/32. Simplify your answer.
25/96
10/3
3/4
4/3
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0

Study Outcomes

  1. Divide Fractions Accurately -

    Apply the standard algorithm for fraction division to compute quotients correctly and efficiently.

  2. Multiply Fractions Confidently -

    Use multiplication methods for fractions to support or cross-check division results and reinforce number sense.

  3. Simplify Fraction Results -

    Reduce complex fractional answers to their simplest form for clear, precise solutions.

  4. Analyze Word Problems -

    Break down real-world scenarios into fraction division and multiplication steps to solve practical math challenges.

  5. Apply Fraction Concepts -

    Transfer your fraction division and multiplication skills to everyday contexts like cooking, budgeting, and measurements.

  6. Evaluate Your Mastery -

    Self-assess your progress through instant feedback and sharpen weak areas in the division of fractions quiz.

Cheat Sheet

  1. Keep - Change - Flip for Division -

    When facing a division of fractions quiz, remember the "Keep-Change-Flip" method: keep the first fraction, change ÷ to ×, then flip the second fraction. For example, (3/4) ÷ (2/5) becomes (3/4) × (5/2) = 15/8. This simple mnemonic is recommended by MIT OpenCourseWare to streamline your workflow.

  2. Multiply Across Numerators and Denominators -

    In a multiplying fractions quiz, just multiply the tops and multiply the bottoms: (a/b) × (c/d) = (a×c)/(b×d). For instance, (2/3) × (4/5) = 8/15, as shown by Khan Academy in its core fraction multiplication lessons. Keeping this rule front of mind cuts down on mistakes during timed practice.

  3. Cross”Cancel to Simplify Early -

    Before multiplying or dividing, look for factors that can cancel across a numerator and an opposite denominator to reduce large numbers. For example, (4/9) ÷ (8/27) becomes (4×27)/(9×8), where you can cancel 4 with 8 and 9 with 27 to quickly get 3/2. The National Council of Teachers of Mathematics highlights that early simplification boosts accuracy and speed.

  4. Convert Mixed Numbers to Improper Fractions -

    Always convert mixed numbers (like 1 1/2) to improper fractions (3/2) before you multiply or divide; this avoids extra steps and errors. University of Cambridge resources emphasize that (1 1/4) ÷ (2 2/3) is clearer as (5/4) ÷ (8/3) before applying Keep-Change-Flip. Mastery here ensures smooth progress on any fraction division quiz.

  5. Use Real-World Word Problems -

    Boost your fraction prowess by solving word problems that require dividing or multiplying fractions - this builds number sense and context. For example, splitting 3/4 of a pizza among 2 people or finding 2/5 of a recipe quantity reinforces concepts from a fraction multiplication quiz. Research from the University of Oxford shows contextual practice enhances retention and confidence.

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