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Quizzes > Mathematics > Basic Math & Arithmetic

Adding and Subtracting Mixed Numbers Quiz: Are You Ready?

Ready for adding and subtracting mixed numbers worksheet challenges? Start the quiz now!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration of mixed number addition and subtraction quiz elements on teal background

Ready to master adding and subtracting mixed numbers? In this free mixed numbers quiz, you'll sharpen your skills by adding and subtracting mixed numbers, perfect for 7th graders and beyond. You'll test common adding mixed numbers practice strategies, solve subtracting mixed numbers problems with confidence, and even peek at adding and subtracting mixed numbers worksheet 7th grade answers to check your work. Whether you're gearing up for a big exam or aiming to boost your math confidence, this mixed numbers quiz is your go-to resource. Already comfortable with fractions? Try our adding and subtracting fractions quiz for a quick warm-up, or jump into the adding and subtracting integers quiz when you're ready for the next challenge. Let's dive in and ace mixed numbers now!

1 1/2 + 2 2/3 = ?
4 1/6
3 5/6
4 5/6
4 2/3
Convert 1 1/2 to 3/2 and 2 2/3 to 8/3, then find a common denominator of 6. Add 9/6 and 16/6 to get 25/6, which simplifies to 4 1/6. The process of converting mixed numbers to improper fractions and back is key to accurate addition. Learn more about adding mixed numbers.
3 3/4 - 1 1/2 = ?
2 1/4
2 1/2
1 1/4
2 3/4
Convert 3 3/4 to 15/4 and 1 1/2 to 3/2 (or 6/4). Subtract to get 9/4, which converts back to 2 1/4. Borrowing is not necessary since the fractional part is larger in the minuend. Review subtraction of mixed numbers.
2 1/3 + 1 2/5 = ?
3 11/15
3 7/10
3 1/15
3 13/15
Convert to improper fractions: 2 1/3 = 7/3, 1 2/5 = 7/5. The common denominator is 15, giving 35/15 + 21/15 = 56/15, which is 3 11/15. Always reduce the final answer. Detailed steps on adding fractions.
5 2/6 - 2 1/6 = ?
3 1/6
2 2/6
3 0/6
2 5/6
Since both mixed numbers have the same denominator, subtract the whole parts (5 - 2 = 3) and the fractional parts (2/6 - 1/6 = 1/6), yielding 3 1/6. Simplify if possible; here 1/6 is already in simplest form. See more on subtracting like fractions.
4 1/4 + 3 3/4 = ?
8
7 3/4
7 1/2
8 1/4
Add the whole numbers (4 + 3 = 7) and the fractions (1/4 + 3/4 = 1). Combine to get 8. Mixed-number addition often collapses into a whole when the fractional parts sum to 1. Learn about fractional sums.
6 1/2 - 2 3/4 = ?
3 3/4
4
3 1/4
3 5/4
Convert to improper fractions or borrow: 6 1/2 = 6 + 1/2, borrow 1 to make 5 + 3/2. Subtract 2 3/4 by converting 3/4 to 0.75 and 1/2 to 0.5, yielding 3.75 or 3 3/4. Borrowing with mixed numbers.
0 3/5 + 1 1/5 = ?
1 4/5
1 2/5
2
1 3/5
Add the whole parts (0 + 1 = 1) and fractions (3/5 + 1/5 = 4/5) to get 1 4/5. Even with a zero whole part, the process remains the same. Practice adding fractions.
2 1/4 - 3 1/2 = ?
-1 1/4
-1 3/4
1 1/4
-2 1/4
Convert to improper fractions: 9/4 - 7/2 (which is 14/4) equals -5/4 or -1 1/4. Negative results occur when the subtrahend is larger. Subtracting to get negative fractions.
7 5/8 + 1 2/3 = ?
9 7/24
8 19/24
9 5/24
8 23/24
Convert to improper fractions: 61/8 + 5/3. Common denominator 24: 183/24 + 40/24 = 223/24, which is 9 7/24. Accurate fraction conversion is essential. Learn to find common denominators.
9 1/2 - 4 4/5 = ?
4 7/10
5 3/10
4 9/10
3 7/10
Convert to decimals or improper fractions: 19/2 - 24/5. Using common denominator 10: 95/10 - 48/10 = 47/10 or 4 7/10. Both methods work. Subtraction with unlike denominators.
3 3/10 + 2 9/10 = ?
6 1/5
6 1/2
6 2/5
5 11/10
The fractions sum to 12/10 or 1 2/10, which simplifies to 1 1/5. Add to the whole parts (3 + 2 + 1) to get 6 1/5. Simplification after adding fractions prevents errors. Fraction addition review.
10 2/3 - 5 5/6 = ?
4 5/6
5 1/3
4 1/2
4 1/6
Convert to twelfths: 10 8/12 - 5 10/12 = 5 (8/12 - 10/12) = 5 - 2/12 = 4 10/12 = 4 5/6 after simplification. Borrowing ensures correct subtraction. Detailed subtraction steps.
2 5/12 + 3 7/8 = ?
6 7/24
5 13/24
6 11/24
6 3/8
Convert to twenty-fourths: 29/12 = 58/24, 7/8 = 21/24, sum = 79/24 = 3 7/24 plus 2+3 = 6 7/24. Correct common denominators are vital. Common denominator practice.
6 3/5 - 2 4/15 = ?
4 1/3
3 4/15
4 7/15
4 2/3
Convert 6 3/5 to fifteenths (6 9/15) and subtract 2 4/15 to get 4 5/15 = 4 1/3 after simplification. Efficient fraction reduction avoids mistakes. Learn reduction techniques.
(3 2/7 + 4 5/14) - 2 3/14 = ?
5 3/7
4 11/14
6 1/14
5 1/7
Convert to fourteenths: 3 4/14 + 4 5/14 = 7 9/14, then subtract 2 3/14 = 5 6/14 = 5 3/7 upon simplification. Multi-step grouping requires careful tracking of denominators. Complex mixed number operations.
8 5/6 + 3 11/12 + 2 1/4 = ?
15
14 5/6
15 1/12
14 11/12
Convert to twelfths: 8 10/12 + 3 11/12 + 2 3/12 = 8 + 3 + 2 + (10+11+3)/12 = 13 + 24/12 = 13 + 2 = 15. Recognizing whole increments simplifies the process. Advanced addition strategies.
15 3/4 - (7 5/6 + 2 1/3) = ?
5 7/12
6 1/2
4 11/12
5 5/6
First add inside parentheses: 7 10/12 + 2 4/12 = 10 14/12 = 11 2/12 = 11 1/6. Then subtract from 15 3/4 (15 9/12 - 11 2/12 = 4 7/12 = 5 7/12 after borrowing). Parentheses in mixed numbers.
(5 2/3 - 2 7/9) + 3 1/6 = ?
6 1/18
6 1/9
6 2/9
5 17/18
Convert to ninths and sixths: 5 6/9 - 2 7/9 = 2 8/9, then add 3 1/6. Convert 2 8/9 to eighteenths (2 16/18) and 3 3/18 = 3 1/6, sum = 6 19/18 = 6 1/18. Mixed denominators breakdown.
20 7/8 - 13 5/16 = ?
7 9/16
7 3/8
8 1/2
6 11/16
Convert to sixteenths: 20 14/16 - 13 5/16 = 7 9/16. Using a single denominator simplifies subtraction. Subtracting with a common denominator.
(4 3/5 + 6 7/8) - 3 1/2 = ?
7 39/40
7 37/40
8 1/40
7 19/40
Convert to fortieths: 4 24/40 + 6 35/40 = 10 59/40 = 11 19/40, then subtract 3 20/40 yields 7 39/40. Systematic conversion prevents errors. High-denominator practice.
(12 2/3 + 5 3/4) + (3 5/6 - 2 2/3) = ?
19 7/12
18 11/12
20
19 1/6
First sum 12 8/12 + 5 9/12 = 17 17/12 = 18 5/12; then 3 10/12 - 2 8/12 = 1 2/12 = 1 1/6. Adding gives 19 7/12. Grouping carefully is crucial. Step-by-step mixed operations.
(5 3/7 - (2 2/3 + 1 1/4)) + (4 5/6 - 3 1/8) = ?
3 3/14
2 5/14
3 5/8
4 1/14
Compute inside the first parentheses: 2 8/12 + 1 3/12 = 3 11/12, then 5 3/7 - 3 11/12 ? convert to 84ths to get 1 43/84. Next parentheses gives 1 17/24 (or 1 59/84). Sum = 2 102/84 = 3 3/14. Nested mixed-number operations.
If x = 2 1/2 and y = 1 3/4, compute (3x + 2y) - (x + 4y) = ?
1 1/2
1 1/4
2
1
3x + 2y = 7.5 + 3.5 = 11; x + 4y = 2.5 + 7 = 9.5. Subtract to get 1.5 or 1 1/2. Combining algebra and mixed numbers tests multiple skills. Algebra with fractions.
Double 3 1/3 cups of flour and then subtract 1 3/4 cups: how much flour remains?
4 11/12
4 5/6
5 1/12
4 7/8
Doubling gives 6 2/3. Subtract 1 3/4 ? convert to twelfths: 6 8/12 - 1 9/12 = 4 11/12. Real?world word problems require careful conversion. Word problems with mixed numbers.
Eight planks of 3 7/8 ft minus one plank of 6 3/4 ft yields what total length?
24 1/4
25 1/8
23 3/4
24
8 × 3 7/8 = 31 ft; subtract 6 3/4 (6.75) yields 24.25 or 24 1/4. Multiplication then subtraction checks multi?step skills. Mixed numbers in measurement.
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Study Outcomes

  1. Convert Mixed Numbers -

    Learn to rewrite mixed numbers as improper fractions and vice versa, ensuring smooth work on adding and subtracting mixed numbers.

  2. Apply Addition Strategies -

    Master the step-by-step process for adding mixed numbers, including finding common denominators and combining whole and fractional parts.

  3. Apply Subtraction Techniques -

    Develop confidence in subtracting mixed numbers by using borrowing methods and aligning denominators correctly.

  4. Solve Realistic Problems -

    Tackle a variety of problems - from straightforward to challenging - on this mixed numbers quiz to reinforce understanding and accuracy.

  5. Self-Assess and Improve -

    Receive instant feedback on each answer, identify common mistakes, and apply corrective strategies for future adding and subtracting mixed numbers practice.

Cheat Sheet

  1. Converting Mixed Numbers to Improper Fractions -

    Mastering adding and subtracting mixed numbers begins by rewriting each mixed number as an improper fraction. For instance, change 3 2/5 to (3×5+2)/5 = 17/5, a technique endorsed by resources like Khan Academy. This step ensures accuracy when you tackle adding mixed numbers practice or subtracting mixed numbers problems.

  2. Finding a Common Denominator -

    Before adding or subtracting, always find the least common denominator (LCD) to combine fractions seamlessly. Use the LCM method (e.g., LCD of 4 and 6 is 12) as detailed in university math guides to align the fractional parts. Having a single denominator turns any mixed numbers quiz into a breeze.

  3. Borrowing and Regrouping in Subtraction -

    When the fractional part of the minuend is smaller, borrow 1 from the whole number to regroup - turn 5 1/3 - 2 2/5 into 4 (1+1/3)=4 4/3 minus 2 2/5. This "borrow-and-regroup" trick, described on reputable sites like MIT OpenCourseWare, solves tricky subtracting mixed numbers problems. Regularly practicing this boost your speed and accuracy.

  4. Simplifying and Converting Back -

    After computing, reduce your fraction to simplest terms and convert any improper fraction back to a mixed number for a clear answer. For example, simplify 14/4 to 7/2, then rewrite as 3 1/2, a process outlined by Math Is Fun. This final polish makes your adding and subtracting mixed numbers worksheet 7th grade answers neat and correct.

  5. Using Quizzes for Instant Feedback -

    Boost retention by tackling a scored mixed numbers quiz that gives immediate feedback on each answer. Platforms like IXL and Education.com offer targeted adding mixed numbers practice and subtracting mixed numbers problems with step-by-step hints. Consistent quiz practice turns concepts into confidence!

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