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Quizzes > Mathematics

Multiplying and Dividing Fractions Quiz

Quick dividing fractions quiz. Instant results.

Editorial: Review CompletedCreated By: Morgan BrownUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art with fraction symbols division and multiplication icons floating on teal background for a fractions quiz

This quiz helps you practice multiplying and dividing fractions, spot mistakes, and build speed with clear, auto-checked questions. See instant feedback, then strengthen tricky areas with a focused operations with fractions quiz or try a multiplying mixed numbers quiz. If mixed forms slow you down, review with a mixed number conversion quiz before taking another round.

What is the product of 1/2 and 3/4?
1/4
3/8
1/2
2/3
To multiply fractions, multiply the numerators and denominators separately. Here, 1 × 3 = 3 and 2 × 4 = 8, giving 3/8. This approach is the standard procedure for fraction multiplication. Learn more at .
What is 2/3 multiplied by 3/5?
2/5
1/2
3/5
1/5
Multiplying 2/3 by 3/5 means 2×3 in the numerator and 3×5 in the denominator, giving 6/15. Simplify 6/15 by dividing both by 3 to get 2/5. Simplification ensures the fraction is in lowest terms. For more details visit .
Calculate 1/2 ÷ 1/4.
2
1/2
4
1/4
Division of fractions uses the invert-and-multiply rule. Flip 1/4 to 4/1 and multiply: (1/2)×(4/1)=4/2=2. Always simplify the result if possible. See more at .
What is 2/3 divided by 4?
8/3
3/2
1/6
1/3
To divide by a whole number, convert it to a fraction (4 = 4/1) and invert: (2/3)×(1/4)=2/12=1/6. Simplify the fraction to its lowest terms. This technique applies to any whole number division of fractions. More info at .
Find the product of 3/4 and 8/9.
2/3
4/9
3/2
1/3
Multiply numerators: 3×8=24 and denominators: 4×9=36, yielding 24/36. Simplify by dividing numerator and denominator by 12 gives 2/3. Reduction is key to simplest form. For extra practice, see .
What is 5/6 ÷ 2/3?
15/36
5/4
2/3
3/5
Invert 2/3 to get 3/2, then multiply: (5/6)×(3/2)=15/12, which simplifies to 5/4 by dividing numerator and denominator by 3. Always flip the divisor when dividing fractions. More explanation at .
Compute 4 × 3/7.
1/3
7/12
12/7
3/4
Treat the whole number as a fraction (4/1) then multiply: (4/1)×(3/7)=12/7. Converting wholes to fractions maintains consistency in multiplication. The result is an improper fraction. See for details.
What is 7/8 ÷ 14/15?
7/16
15/16
8/15
105/112
Invert 14/15 to 15/14 and multiply: (7/8)×(15/14)=105/112. Simplify by dividing by 7 to get 15/16. Simplifying at the end ensures lowest terms. More at .
What is 5/12 multiplied by 18/25?
15/100
3/2
3/10
6/25
Multiply straight across: numerator 5×18=90 and denominator 12×25=300 yields 90/300. Simplify by dividing by 30 to get 3/10. Cancel common factors early to simplify work. For more, see .
Calculate 2 1/2 ÷ 3/4.
3/10
10/3
5/6
8/3
Convert 2 1/2 to an improper fraction: 5/2. Invert 3/4 to 4/3 and multiply: (5/2)×(4/3)=20/6, which simplifies to 10/3. Always convert mixed numbers first and simplify the final result. More at .
Find the product of 7/15 and 5/14.
35/210
7/15
1/6
5/14
Multiply: 7×5=35 and 15×14=210 giving 35/210. Simplify by dividing both by 35 to get 1/6. Canceling before multiplication can also speed up your work. See for a deeper look.
What is 4/9 ÷ 2/3?
6/9
3/4
1/3
2/3
Invert 2/3 to 3/2 and multiply: (4/9)×(3/2)=12/18, which simplifies to 2/3 by dividing by 6. Reducing after multiplication yields the simplest form. Learn more at .
Evaluate (3/4 ÷ 2/5) × 5/6.
3/10
5/24
15/8
25/16
First divide: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8. Then multiply by 5/6: (15/8)×(5/6)=75/48 which simplifies to 25/16. Combining divide-then-multiply steps requires careful order of operations. More examples at .
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Study Outcomes

  1. Understand Multiplication of Fractions -

    Identify numerators and denominators, multiply them directly, and simplify products in our multiplying fractions quiz.

  2. Apply Division of Fractions Techniques -

    Use the invert-and-multiply method to confidently solve dividing fractions quiz problems and recognize when to flip.

  3. Solve Mixed Number Challenges -

    Convert between mixed numbers and improper fractions to tackle fraction division quiz questions with ease.

  4. Simplify and Reduce Answers -

    Employ greatest common divisor strategies to simplify results from both multiplication and division of fractions quiz items.

  5. Identify and Correct Common Errors -

    Analyze typical mistakes in fraction multiplication and division, then apply best practices to avoid them.

  6. Track Progress with Instant Feedback -

    Use the quiz's scoring and feedback features to monitor improvement and reinforce your fraction skills.

Cheat Sheet

  1. Improper Fractions & Mixed Numbers -

    Always convert mixed numbers to improper fractions before tackling a multiplying fractions quiz or dividing fractions quiz. This step, recommended by Khan Academy, avoids errors and keeps your work systematic and stress-free. For instance, 2 1/3 becomes 7/3, making arithmetic straightforward in any fraction division quiz.

  2. Multiplying Fractions Basics -

    When you see a multiplying fractions quiz question, multiply the numerators together and the denominators together (e.g., 3/7 × 5/2 = 15/14). Then simplify the answer to boost clarity and confidence. This method is endorsed by the National Council of Teachers of Mathematics for building strong foundational skills.

  3. Division of Fractions & "Keep-Change-Flip" -

    In any fraction division quiz, apply the "Keep-Change-Flip" rule: keep the first fraction, change the ÷ sign to ×, and flip the second fraction (e.g., (4/9) ÷ (2/5) = 4/9 × 5/2 = 20/18). This mnemonic, popularized by the University of Cambridge curriculum, ensures accuracy under pressure and helps you breeze through any division of fractions quiz.

  4. Cross-Cancellation for Simplification -

    Before multiplying or dividing, cancel common factors across numerators and denominators to simplify early - this tip appears in Cornell University's math ladder resources. For example, in 2/3 × 9/4, cancel 2 with 4 to get 1/3 × 9/2, making the arithmetic in your divide fractions quiz much easier and faster.

  5. Effective Practice Strategies & Instant Feedback -

    Use free online multiplying fractions quiz and division of fractions quiz platforms that offer instant scoring and detailed feedback. Research in the Journal of Educational Psychology shows immediate feedback boosts retention. Set timed sessions and review explanations to build confidence and mastery in any divide fractions quiz.

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