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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!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style fraction division quiz illustration with cutout fractions numbers on coral background

Get ready to level up your math with our free & fun fraction division quiz, designed to turn tricky problems into pure enjoyment! This division of fractions quiz invites students and lifelong learners alike to test dividing mixed numbers, simplify each outcome, and uncover clever shortcuts for pinpoint accuracy. Jump into our dividing fractions quiz for instant feedback and confidence-boosting results. Then master your portion math with a multiplying fractions quiz - the perfect fraction multiplication quiz to reinforce reciprocal tricks. Don't wait - take the quiz now, unlock fraction secrets, and prove you're a math mastermind!

What is 1/2 divided by 1/4?
4
2
1/2
1/4
To divide by a fraction, you multiply by its reciprocal: 1/2 × 4/1 = 4/2 = 2. This method always works because division of fractions is defined by reciprocal multiplication. Simplifying 4/2 gives 2. Math is Fun: Dividing Fractions
What is 3/4 ÷ 1/2?
1 1/3
3/8
3/2
2/3
Divide 3/4 by 1/2 by multiplying 3/4 by the reciprocal of 1/2, which is 2/1: 3/4 × 2/1 = 6/4, simplified to 3/2. Always invert the divisor and multiply. Math is Fun: Dividing Fractions
Calculate 2/3 ÷ 4/5.
1 2/3
8/15
3/8
5/6
To divide 2/3 by 4/5, multiply 2/3 by 5/4: 2/3 × 5/4 = 10/12, which reduces to 5/6. Always invert the second fraction. Math is Fun: Dividing Fractions
What is 5/6 divided by 2/3?
1/2
2
5/4
3/5
Divide 5/6 by 2/3 by multiplying by the reciprocal of 2/3 (which is 3/2): 5/6 × 3/2 = 15/12 = 5/4. Simplify the result for the final answer. Math is Fun: Dividing Fractions
What is 1 divided by 2/5?
3/2
5/2
10/3
2
Dividing 1 by 2/5 is the same as 1 × 5/2 = 5/2. You always flip the divisor and multiply. Math is Fun: Dividing Fractions
Calculate 3/2 ÷ 4/3.
9/8
8/9
6/7
3/4
Flip the divisor 4/3 to get 3/4, then multiply: 3/2 × 3/4 = 9/8. Simplify when possible. Math is Fun: Dividing Fractions
Find 4 1/2 ÷ 1 1/3.
11/6
27/8
9/4
8/3
Convert mixed numbers to improper fractions: 4½ = 9/2 and 1? = 4/3. Then 9/2 ÷ 4/3 = 9/2 × 3/4 = 27/8. Simplify if needed. Math is Fun: Dividing Fractions
What is 7/8 ÷ 1/16?
14
7/128
8/7
1/2
Invert 1/16 to get 16/1 and multiply: 7/8 × 16/1 = 112/8 = 14. Always flip and multiply. Math is Fun: Dividing Fractions
Calculate 1 2/5 ÷ 3/7.
35/3
7/21
49/15
14/15
Convert 1? to 7/5, then divide by 3/7 by multiplying by the reciprocal: 7/5 × 7/3 = 49/15. Simplify if possible. Math is Fun: Dividing Fractions
What is 2/3 ÷ 5/8?
16/15
3/2
10/3
8/15
Multiply 2/3 by the reciprocal of 5/8 (8/5): 2/3 × 8/5 = 16/15. Then simplify if necessary. Math is Fun: Dividing Fractions
Compute 7/9 ÷ 14/27.
49/9
27/14
14/27
3/2
Flip 14/27 to get 27/14 and multiply: 7/9 × 27/14 = 189/126, which simplifies to 3/2. Simplification is essential. Math is Fun: Dividing Fractions
What is 3 3/4 ÷ 2 2/5?
15/12
2
5/4
25/16
Convert to improper fractions: 3¾ = 15/4 and 2? = 12/5. Then 15/4 ÷ 12/5 = 15/4 × 5/12 = 75/48 = 25/16 after simplifying. Math is Fun: Dividing Fractions
A water tank holds 7 1/2 liters of water. If each small container holds 2/3 liter, how many containers can you fill?
11 1/4
9/2
15/2
13 1/3
Convert 7½ to 15/2 and divide by 2/3 by multiplying by its reciprocal: 15/2 × 3/2 = 45/4 = 11¼. Word problems follow the same reciprocal rule. Math is Fun: Dividing Fractions
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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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