Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > Mathematics > Basic Math & Arithmetic

Take the Mixed Fractions Quiz: Convert, Multiply & Divide with Confidence

Ready to convert 49/6 as a mixed number and master multiplying mixed fractions?

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art mixed fractions quiz on golden yellow background convert 51 over 4 and 49 over 6 to mixed numbers multiply divide

This quiz helps you convert 51/4 and 49/6 as mixed numbers and practice multiplying and dividing mixed numbers. Use it to spot gaps before a test and build speed, then see your score right away; if you want a quick warm‑up, try 43/4 first.

Convert the improper fraction 51/4 to a mixed number.
12 1/4
12 5/4
12 3/4
13 3/4
Dividing 51 by 4 gives a quotient of 12 and a remainder of 3, which becomes the fractional part over the original denominator. Thus, 51/4 equals 12 3/4. This method of conversion ensures the fractional part is less than the denominator. For more details, see .
Convert the improper fraction 49/6 to a mixed number.
8 2/6
8 1/6
9 1/6
7 5/6
Dividing 49 by 6 yields 8 with a remainder of 1, so the mixed number is 8 1/6. The remainder becomes the numerator over the original denominator. This ensures the fractional part is properly simplified. For more details, visit .
Convert the improper fraction 23/5 to a mixed number.
4 2/5
3 4/5
5 3/5
4 3/5
23 divided by 5 equals 4 with a remainder of 3, so we write 4 3/5. The remainder 3 forms the new numerator over the original denominator 5. This process ensures the fractional part is less than one. Learn more at .
Convert the improper fraction 14/3 to a mixed number.
4 1/3
4 2/3
3 2/3
5 2/3
14 divided by 3 is 4 with a remainder of 2; thus, 14/3 converts to 4 2/3. The remainder becomes the numerator in the fractional part. This method always yields a fractional part smaller than the denominator. See for more.
Which of the following is the correct mixed number representation of 9/2?
5 1/2
4 2/3
3 1/2
4 1/2
9 divided by 2 equals 4 with a remainder of 1, giving 4 1/2. The remainder 1 is placed over the original denominator 2. This representation ensures the fractional part is less than one. For further explanation, check .
Convert the improper fraction 7/4 into a mixed number.
2 3/4
1 3/4
1 4/7
1 1/4
7 divided by 4 gives 1 with a remainder of 3, so the mixed number is 1 3/4. The remainder forms the numerator of the fractional part over 4. This approach is consistent for all improper fractions. More info is available on .
Express 3 1/4 as an improper fraction.
12/4
15/4
7/4
13/4
To convert 3 1/4 to an improper fraction, multiply 3 by 4 and add 1 to get 13, over 4: 13/4. This ensures the same value as the mixed number. This method works for any mixed fraction. See for more.
Express 5 2/3 as an improper fraction.
16/3
15/3
14/3
17/3
Multiply 5 by 3 and add 2 to get 17, then place over 3: 17/3. This improper fraction equals 5 2/3. This conversion is standard for mixed numbers. Learn more at .
What is the product of 1 1/2 and 2 2/3?
4 1/6
5
3 1/3
4
Convert to improper fractions: 1 1/2 = 3/2 and 2 2/3 = 8/3. Multiply: (3/2)*(8/3) = 24/6 = 4. The result is a whole number. For more practice, see .
What is the product of 3 3/4 and 2?
7 3/4
7 1/2
6
8 1/4
3 3/4 as an improper fraction is 15/4. Multiply by 2: (15/4)*2 = 30/4 = 15/2 = 7 1/2. Always simplify afterward. Further examples are on .
What is 5 1/2 divided by 2?
2 3/4
3
2 1/4
2 1/2
5 1/2 equals 11/2. Dividing by 2 is multiplying by 1/2: (11/2)*(1/2)=11/4=2 3/4. Always express result in simplest form. More on .
What is 3 3/8 divided by 1 1/2?
1 7/8
2
2 1/4
2 3/8
Convert: 3 3/8=27/8 and 1 1/2=3/2. Divide: (27/8)*(2/3)=54/24=9/4=2 1/4. Simplify the fraction after multiplying. For a detailed guide, see .
What is the product of 2 1/3 and 3 1/2 in simplest mixed number form?
8 1/6
7 1/6
7 2/3
8 2/3
Convert to improper: 2 1/3=7/3 and 3 1/2=7/2. Multiply: (7/3)*(7/2)=49/6=8 1/6. Simplify the result for the mixed number. See for more examples.
Multiply 4 2/5 by 1 3/5 and express the result as a mixed number.
8
7 3/5
6 2/5
7 1/25
Convert: 4 2/5=22/5 and 1 3/5=8/5. Multiply: (22/5)*(8/5)=176/25. As a mixed number, 176/25=7 remainder 1 so 7 1/25. More detail at .
Divide 7 1/2 by 2 1/4 and express the result as a mixed number.
3
3 1/3
3 1/2
3 2/3
Convert: 7 1/2=15/2 and 2 1/4=9/4. Divide: (15/2)*(4/9)=60/18=10/3=3 1/3. Always simplify your final answer. For similar problems, visit .
Divide 6 2/3 by 1 2/5 and express the quotient as a mixed number.
5 1/4
5 2/3
4 16/21
4 2/5
Convert: 6 2/3=20/3 and 1 2/5=7/5. Divide: (20/3)*(5/7)=100/21=4 remainder 16 so 4 16/21. Simplification ensures the mixed number is in lowest terms. See .
Calculate 5 3/4 multiplied by 2 2/7 and express as a mixed number.
14 1/7
13 1/7
13 3/4
12 6/7
Convert: 5 3/4=23/4 and 2 2/7=16/7. Multiply: (23/4)*(16/7)=368/28=92/7=13 1/7. Always simplify at each step. For more guidance, see .
Divide 8 1/2 by 3 3/4 and express as a mixed number.
2 1/2
2 4/15
2 2/3
2 1/15
Convert: 8 1/2=17/2 and 3 3/4=15/4. Divide: (17/2)*(4/15)=68/30=34/15=2 4/15. Simplify numerator and denominator when possible. For more practice, visit .
If x = 7 1/3 × 4 1/2, what is x in simplest mixed number form?
32 1/6
33
33 1/3
31 1/2
Convert: 7 1/3=22/3 and 4 1/2=9/2. Multiply: (22/3)*(9/2)=198/6=33. The product is a whole number. See for similar problems.
If y = 9 2/5 ÷ 1 4/7, what is y as a mixed number?
5 54/55
5 4/5
5 5/11
6 1/5
Convert: 9 2/5=47/5 and 1 4/7=11/7. Divide: (47/5)*(7/11)=329/55=5 remainder 54, so 5 54/55. Always reduce to lowest terms. More at .
Multiply 3 5/6 by 4 2/9 and simplify.
15 5/27
17 1/27
16 5/27
16 7/27
Convert: 3 5/6=23/6 and 4 2/9=38/9. Multiply: (23/6)*(38/9)=874/54=437/27=16 5/27. Simplify at each step. For more, see .
Divide 10 3/8 by 2 5/16 and express the result as a mixed number.
4 19/37
5 1/37
4 18/37
4 17/37
Convert: 10 3/8=83/8 and 2 5/16=37/16. Divide: (83/8)*(16/37)=1328/296=166/37=4 remainder 18, so 4 18/37. Always simplify. See .
Convert the product of 2 3/5 × 1 2/3 into a mixed number.
4
4 1/3
5
4 2/3
Convert: 2 3/5=13/5 and 1 2/3=5/3. Multiply: (13/5)*(5/3)=65/15=13/3=4 1/3. Simplify step by step. More examples at .
Divide 7 4/7 by 2 and convert the result into a mixed number.
3 10/14
3 11/14
3 9/14
3 12/14
Convert: 7 4/7=53/7. Dividing by 2 gives (53/7)*(1/2)=53/14=3 remainder 11, so 3 11/14. Always simplify any fractional remainder. See .
A recipe requires 3 3/4 cups of sugar per batch. How many cups are needed for 2 2/3 batches? Express your answer as a mixed number.
9 3/4
10
10 1/4
11
Convert: 3 3/4=15/4 and 2 2/3=8/3. Multiply: (15/4)*(8/3)=120/12=10. The total sugar needed is 10 cups. This application of mixed number multiplication is common in real-world recipes. See for more.
0
{"name":"Convert the improper fraction 51\/4 to a mixed number.", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Convert the improper fraction 51\/4 to a mixed number., Convert the improper fraction 49\/6 to a mixed number., Convert the improper fraction 23\/5 to a mixed number.","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Understand improper fractions vs. mixed numbers -

    Recognize the difference between improper fractions and mixed numbers to build a strong foundation for converting 51/4 as a mixed number and 49/6 as a mixed number.

  2. Convert 51/4 as a mixed number -

    Follow step-by-step guidance to divide and express 51/4 as a mixed number, reinforcing your ability to tackle similar improper fractions.

  3. Convert 49/6 as a mixed number -

    Apply the same conversion method to transform 49/6 as a mixed number, solidifying your skills in handling different numerators and denominators.

  4. Apply conversion rules to other improper fractions -

    Use the convert improper fraction to mixed number process on various examples, ensuring you can generalize this technique beyond the quiz.

  5. Multiply mixed fractions -

    Learn and practice the rules to multiply mixed fractions accurately, boosting your confidence with multi-step fraction operations.

  6. Divide mixed fractions -

    Master the divide mixed fractions strategy by flipping denominators and simplifying, so you can handle division problems with ease.

Cheat Sheet

  1. Division Algorithm for Converting Improper Fractions -

    To convert improper fractions like 51/4 as a mixed number, divide the numerator by the denominator to get the whole number, then place the remainder over the original denominator as the fractional part. This "Divide, Multiply, Subtract" (DMS) method is recommended by Khan Academy and aligns with guidelines from the National Council of Teachers of Mathematics. Use this reliable approach to convert improper fraction to mixed number for any fraction.

  2. Step-by-Step: Converting 51/4 -

    Compute 51 ÷ 4 to get 12 remainder 3, yielding the mixed number 12 3❄4 and reinforcing your grasp of the division algorithm. This specific example of 51/4 as a mixed number is cited often in resources like University of Cambridge problem sets for fraction mastery. Practice similar problems to build speed and accuracy.

  3. Step-by-Step: Converting 49/6 -

    Divide 49 by 6 to obtain 8 with a remainder of 1, giving you the mixed number 8 1❄6 and reinforcing how to convert improper fraction to mixed number. MIT OpenCourseWare recommends mastering 49/6 as a mixed number example to practice handling remainders correctly. Frequent practice of these conversions reduces errors and builds confidence.

  4. Multiply Mixed Fractions with Ease -

    Always convert mixed numbers to improper fractions (e.g., 12 3❄4 → 51/4) before multiplying numerators and denominators, then simplify using greatest common divisors. This "Flip, Multiply, Simplify" mantra is highlighted in University of Cambridge extension courses and by the National Council of Teachers of Mathematics. Regular exercises in multiply mixed fractions sharpen your fraction fluency.

  5. Dividing Mixed Fractions Made Simple -

    Convert each mixed number to an improper fraction, "Keep, Change, Flip" the second fraction (invert the divisor), then multiply numerators and denominators and simplify the result. This strategy to divide mixed fractions is endorsed by MIT OpenCourseWare and widely used in academic publications for its clarity and consistency. Applying this method systematically helps avoid common pitfalls.

Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Basic Math & Arithmetic Quizzes

Powered by: Quiz Maker