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Quizzes > Mathematics > Basic Math & Arithmetic

Master Converting Improper Fractions to Mixed Numbers - Take the Quiz!

Ready to convert improper fractions to mixed numbers? Test your skills below!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper cut style illustration, improper fraction conversion from 7 over 3 to 2 and 1 over 3 on golden yellow background

Use this quiz to turn improper fractions into mixed numbers and practice the steps with clear, quick problems today. Catch mistakes before a test with instant feedback as you go; when you're ready, try 8/6 as a mixed number now.

What is 5/2 as a mixed number?
1 3/2
2 1/2
2 2/3
3 1/2
Divide 5 by 2 to get a quotient of 2 and a remainder of 1. The quotient is the whole number part and the remainder over the original denominator is the fractional part. Together, this gives 2 1/2. .
Convert 7/3 into a mixed number.
2 1/3
3 1/3
1 4/3
2 2/3
When you divide 7 by 3, the quotient is 2 and the remainder is 1. That remainder becomes the new numerator over the original denominator. Therefore, 7/3 equals 2 1/3. .
What mixed number is equivalent to 9/4?
2 1/4
2 2/4
3 1/4
2 3/4
Dividing 9 by 4 gives a quotient of 2 and a remainder of 1. That remainder over the denominator yields 1/4. Combined, the mixed number is 2 1/4. .
Express 10/3 as a mixed number.
4 1/3
2 1/3
3 1/3
3 2/3
10 divided by 3 equals 3 with a remainder of 1. Use the quotient 3 and the remainder as the numerator over the original denominator. That makes 3 1/3. .
Convert 8/3 to a mixed number.
3 2/3
2 1/3
2 2/3
1 5/3
Divide 8 by 3, yielding a quotient of 2 and a remainder of 2. The remainder goes over the original denominator, giving 2/3. Thus, the mixed number is 2 2/3. .
What is 6/2 as a mixed number?
3
3 1/2
2 0/2
2 1/2
6 divided by 2 equals exactly 3 with no remainder. In that case, the mixed number is just the whole number 3. Fractions with zero remainder simplify to whole numbers. .
Express 11/5 as a mixed number.
1 6/5
3 1/5
2 1/5
2 3/5
11 divided by 5 gives a quotient of 2 and a remainder of 1. Place the remainder over the denominator to get 1/5. Combined, that is 2 1/5. .
Convert 13/4 into a mixed number.
2 5/4
4 1/4
3 1/4
3 3/4
13 divided by 4 yields 3 with a remainder of 1. The remainder over the original denominator gives 1/4. Thus, the mixed number is 3 1/4. .
What mixed number equals 4/3?
1 2/3
3 1/3
1 1/3
2 1/3
Dividing 4 by 3 gives a quotient of 1 and a remainder of 1. The fraction part is the remainder over the divisor, 1/3. Combined, you get 1 1/3. .
Express 12/5 as a mixed number.
1 7/5
2 3/5
3 2/5
2 2/5
12 divided by 5 equals 2 with a remainder of 2. That makes the fractional part 2/5. So the mixed number is 2 2/5. .
Convert 14/4 into a mixed number.
4 1/2
3 2/4
3 3/4
3 1/2
14 divided by 4 gives a quotient of 3 and a remainder of 2. The remainder becomes the numerator over the denominator, giving 2/4, which can be simplified to 1/2. Thus the mixed number is 3 1/2. .
What is 15/6 as a mixed number?
3 3/6
1 3/6
2 1/2
2 3/6
Divide 15 by 6 to get 2 with a remainder of 3. The remainder forms the fractional part, 3/6, which simplifies to 1/2. Therefore the mixed number is 2 1/2. .
Express 22/7 as a mixed number.
2 8/7
3 2/7
4 1/7
3 1/7
22 divided by 7 equals 3 with a remainder of 1. The remainder over 7 gives 1/7. So the mixed number is 3 1/7. .
Convert 25/8 into a mixed number.
4 1/8
3 2/8
3 7/8
3 1/8
25 divided by 8 gives 3 with a remainder of 1, but that remainder is actually 1 over 8. However, check the math: 8*3 = 24, remainder 1, so 1/8 not 7/8. Actually the correct mixed number is 3 1/8. .
What mixed number is equal to 17/5?
3 2/5
3 1/5
4 2/5
2 7/5
When dividing 17 by 5, the quotient is 3 and the remainder is 2. That remainder over 5 is the fractional part 2/5. Combine them to get 3 2/5. .
Express 19/4 as a mixed number.
4 3/4
3 3/4
4 1/4
5 3/4
19 divided by 4 equals 4 with a remainder of 3. The fractional part is the remainder over the denominator, 3/4. Thus the mixed number is 4 3/4. .
Convert 23/6 to a mixed number.
3 4/6
3 5/6
4 5/6
3 7/6
23 divided by 6 gives 3 with a remainder of 5. Use that remainder over the original denominator to get 5/6. Combined, it is 3 5/6. .
What is 21/5 as a mixed number?
4 1/5
4 2/5
5 1/5
3 6/5
21 divided by 5 equals 4 with a remainder of 1. The remainder over 5 makes the fractional part 1/5. So the mixed number is 4 1/5. .
Express 29/8 as a mixed number.
3 7/8
3 6/8
4 5/8
3 5/8
29 divided by 8 is 3 with a remainder of 5, giving 5/8. So the mixed number is 3 5/8. .
Convert 18/7 into a mixed number.
2 4/7
2 5/7
2 6/7
3 4/7
Dividing 18 by 7 gives a quotient of 2 and remainder 4. That remainder over 7 is the fractional part, 4/7. Hence the mixed number is 2 4/7. .
What mixed number equals 31/4?
7 3/4
6 3/4
8 3/4
7 1/4
31 divided by 4 gives 7 with a remainder of 3. The remainder over the denominator yields 3/4. Therefore, the mixed number is 7 3/4. .
Convert 37/8 into a mixed number.
4 5/8
4 7/8
3 5/8
5 1/8
37 divided by 8 equals 4 with a remainder of 5. That remainder becomes the fractional part 5/8. Combined, this gives 4 5/8. .
Express 45/7 as a mixed number.
5 6/7
6 3/7
6 1/7
7 3/7
45 divided by 7 is 6 with a remainder of 3. That remainder over 7 is 3/7. So the mixed number is 6 3/7. .
What is 59/9 converted to a mixed number?
7 5/9
6 4/9
6 5/9
5 8/9
59 divided by 9 equals 6 with a remainder of 5. The fraction part is 5/9. Together, that is 6 5/9. .
Convert 64/15 into a mixed number.
4 4/15
4 3/15
5 4/15
3 14/15
64 divided by 15 is 4 with a remainder of 4. That remainder over 15 gives 4/15. So the mixed number is 4 4/15. .
What mixed number is 73/10?
6 13/10
8 3/10
7 7/10
7 3/10
73 divided by 10 equals 7 with a remainder of 3, which forms the fractional part 3/10. Combined, the mixed number is 7 3/10. .
Express 88/13 as a mixed number.
6 10/13
7 10/13
5 13/13
6 9/13
Dividing 88 by 13 gives a quotient of 6 with a remainder of 10. That remainder over 13 gives 10/13. Thus the mixed number is 6 10/13. .
Convert 104/16 into a mixed number.
6 8/16
6 4/16
6 8/16 simplified to 6 1/2
6 12/16
104 divided by 16 is 6 with a remainder of 8. That makes the fractional part 8/16, which simplifies to 1/2. Therefore the mixed number is 6 1/2. .
What mixed number equals 99/11?
10
9
9 0/11
8 11/11
99 divided by 11 equals exactly 9 with no remainder. Therefore, the fraction converts directly to the whole number 9. Fractions with zero remainder simplify to whole numbers. .
Express 121/14 as a mixed number.
9 5/14
8 9/14
8 7/14
8 11/14
121 divided by 14 gives 8 with a remainder of 9. The remainder over 14 is 9/14. Therefore the mixed number is 8 9/14. .
Convert - 14/3 into a mixed number.
- 4 2/3
- 4 2/3
- 5 1/3
- 4 1/3
When converting a negative improper fraction, divide 14 by 3 to get 4 remainder 2, then apply the negative sign to the whole mixed number. This yields - 4 2/3. Place the negative outside the mixed number. .
Express 18/12 as a mixed number in simplest form.
1 1/2
2 6/12
1 6/12
1 3/6
18 divided by 12 gives a quotient of 1 and remainder of 6, so the raw mixed number is 1 6/12. Then simplify 6/12 to 1/2 by dividing numerator and denominator by 6. The final simplest mixed number is 1 1/2. .
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Study Outcomes

  1. Identify Improper Fractions and Mixed Numbers -

    Recognize the characteristics of improper fractions and mixed numbers to prepare for accurate conversions.

  2. Convert Improper Fractions to Mixed Numbers -

    Apply division and remainder strategies to turn improper fractions into mixed numbers step by step.

  3. Interpret Numerator-Denominator Relationships -

    Understand how the numerator and denominator interact to form the whole number and fractional parts of mixed numbers.

  4. Apply Conversion Techniques -

    Use learned methods to convert a variety of improper fractions into mixed numbers with confidence.

  5. Demonstrate Quiz Mastery -

    Test and reinforce your skills by taking the improper fraction to mixed number quiz and receiving immediate feedback.

Cheat Sheet

  1. Division and Remainder Method -

    To turn an improper fraction into a mixed number, divide the numerator by the denominator to get a whole-number quotient and a remainder (e.g., 17 รท 5 = 3 R2, so 17/5 = 3 2/5). According to Khan Academy, this straightforward division approach is the gold standard for converting improper fractions to mixed numbers. With practice, the process becomes second nature and builds strong conversion skills.

  2. Simplifying Fraction Parts -

    After dividing, always simplify the fractional remainder to lowest terms: for example, 14/4 = 3 2/4 simplifies to 3 1/2. Purplemath and university math departments emphasize that reducing fractions ensures your final mixed number is fully simplified. This step is essential for clear, accurate answers in quizzes and exams.

  3. D R S Mnemonic Trick -

    Remember "D R S" - Divide, Remainder, Simplify - to avoid common errors when converting improper fractions to mixed numbers. This handy mnemonic from the National Council of Teachers of Mathematics (NCTM) keeps every step in order and helps you shine on any improper fraction to mixed number quiz. Friendly reminders like this boost confidence and speed.

  4. Applying to Real-World Problems -

    Convert improper fractions in contexts like cooking measurements or elapsed time (e.g., 7/3 hours = 2 1/3 hours) to see the value of mixed numbers in everyday life. Studies from the University of Illinois highlight that contextual practice cements concepts far better than isolated drills. Relating math to real scenarios helps you master how to convert improper fractions and retain skills long-term.

  5. Visual Models for Conversion -

    Use area or bar models to visualize how many whole parts fit into the fraction and what's left over (e.g., 11/4 shows two full rectangles and a 3/4 segment). MathIsFun and other educational research institutions show that visual learners greatly benefit from this approach when turning improper fractions into mixed numbers. Drawing the model boosts both understanding and recall.

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