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Quizzes > Mathematics > Basic Math & Arithmetic

Add and Subtract Fractions Like a Pro - Challenge Yourself Now!

Think you can ace this adding subtracting fractions quiz? Dive in and test your ordering fractions skills!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art showing fraction bars numbers symbols on golden yellow background for adding subtracting ordering fractions quiz

This quiz helps you practice adding and subtracting fractions with like and unlike denominators and mixed numbers. You'll spot gaps, build speed, and get more accurate before your next class or test. Some questions ask you to order fractions or simplify results.

What is 1/4 + 1/4?
2/4
1/2
1
1/4
To add fractions with the same denominator, add the numerators and keep the denominator. Here, 1/4 + 1/4 = (1+1)/4 = 2/4, which simplifies to 1/2. Simplifying fractions ensures the result is in lowest terms. Learn more at .
What is 2/3 - 1/3?
1/2
1/6
2/9
1/3
Since the denominators are the same, subtract the numerators: 2/3 - 1/3 = (2-1)/3 = 1/3. Fractions with a common denominator are straightforward to subtract. This operation demonstrates the principle of like denominators. See more examples at .
What is 1/2 + 1/3?
3/5
2/5
1
5/6
To add fractions with different denominators, find a common denominator. For 1/2 and 1/3, the least common denominator is 6, so convert to 3/6 + 2/6 = 5/6. Adding gives 5/6. More details at .
What is 3/5 - 2/5?
1/2
2/5
1/5
1/3
Since both fractions share the same denominator, subtract their numerators: 3/5 - 2/5 = (3-2)/5 = 1/5. Subtracting like denominators simplifies this process. This is an example of simple fraction subtraction. Read more at .
What is 2/5 + 3/10?
7/10
5/15
3/5
1/2
Find a common denominator for 2/5 and 3/10, which is 10. Convert 2/5 to 4/10 and add 3/10 to get 7/10. The final result is 7/10. For more practice, visit .
What is 5/6 - 1/4?
4/10
7/12
3/10
2/3
To subtract fractions with different denominators, find the least common denominator: 6 and 4 gives 12. Convert 5/6 to 10/12 and 1/4 to 3/12, then subtract: 10/12 - 3/12 = 7/12. This yields 7/12 as the simplified result. Learn more at .
What is 7/8 + 1/4?
7/12
8/12
9/8
1
First, convert 1/4 to an equivalent fraction with denominator 8: 1/4 = 2/8. Then add 7/8 + 2/8 = 9/8. The result 9/8 is an improper fraction that can be written as 1 1/8. Visit for more examples.
What is 1 1/4 - 3/4?
3/2
1
1/2
2/4
Convert the mixed number to an improper fraction: 1 1/4 = 5/4. Subtract 3/4 to get 5/4 - 3/4 = 2/4, which simplifies to 1/2. Thus, the result is 1/2. For further guidance, check .
Which is the correct order of the fractions 3/4, 5/6, and 7/8 from smallest to largest?
7/8, 5/6, 3/4
3/4, 5/6, 7/8
5/6, 3/4, 7/8
3/4, 7/8, 5/6
To compare the fractions, convert them to decimals or find a common denominator, which is 24. We get 3/4 = 18/24, 5/6 = 20/24, and 7/8 = 21/24. Hence, the order from smallest to largest is 3/4, 5/6, 7/8. For more methods, see .
What is 2/3 - 5/9?
1/6
5/27
1/3
1/9
Find a common denominator for 2/3 and 5/9, which is 9. Convert 2/3 to 6/9, then subtract 6/9 - 5/9 = 1/9. So, the result is 1/9. For more details, visit .
What is 5/12 + 7/18?
1
35/216
29/36
12/30
To add 5/12 and 7/18, find the LCM of denominators 12 and 18, which is 36. Convert to 15/36 + 14/36 = 29/36. Thus, the sum is 29/36 in simplest form. Explore more examples at .
What is 9/10 - 2/15?
8/15
1/2
23/30
7/25
Find the common denominator of 10 and 15, which is 30. Convert 9/10 to 27/30 and 2/15 to 4/30, then subtract 27/30 - 4/30 = 23/30. The result is 23/30 in simplest form. View more subtraction methods at .
What is 3/4 + 2/5 - 1/10?
21/20
9/20
1
1 1/10
First, find a common denominator for 3/4, 2/5, and 1/10, which is 20. Convert each fraction: 3/4 = 15/20, 2/5 = 8/20, and 1/10 = 2/20. Then add and subtract: 15/20 + 8/20 - 2/20 = 21/20, which is an improper fraction equal to 1 1/20. For advanced examples, see .
What is 7/15 + 2/9 - 1/6?
17/45
2/5
43/90
47/90
Determine the least common denominator for 15, 9, and 6, which is 90. Convert: 7/15 = 42/90, 2/9 = 20/90, and 1/6 = 15/90. Then compute 42/90 + 20/90 - 15/90 = 47/90. To learn more complex operations, visit .
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Study Outcomes

  1. Calculate sums of fractions with like denominators -

    Apply straightforward addition to fractions that share the same denominator and obtain the correct result.

  2. Compute sums of fractions with unlike denominators -

    Find common denominators and accurately add fractions with different denominators.

  3. Determine differences of fractions -

    Perform subtraction of fractions by aligning denominators and computing the correct difference.

  4. Simplify fractional results -

    Reduce answers to their simplest form using greatest common factors.

  5. Convert between mixed numbers and improper fractions -

    Transform mixed numbers into improper fractions and vice versa to streamline operations.

  6. Compare and order fractions -

    Evaluate sizes of fractions to accurately sequence them from smallest to largest.

Cheat Sheet

  1. Finding Common Denominators -

    When taking an adding and subtracting fractions quiz, first find the least common denominator (LCD) by computing the least common multiple (LCM) of the denominators. For example, to solve 2/3 + 1/4, LCM(3,4)=12, so it becomes 8/12 + 3/12 = 11/12 (source: Khan Academy).

  2. Simplifying Final Answers -

    After performing any addition or subtraction, always simplify your result by dividing numerator and denominator by their greatest common divisor (GCD). For instance, 15/20 reduces to 3/4 since GCD(15,20)=5. Mastering this step is crucial for acing a fraction operations quiz (source: Purdue University Online Writing Lab).

  3. Working with Mixed Numbers -

    When working with mixed numbers on a fraction addition practice quiz or subtracting fractions quiz, convert them to improper fractions before operating. For example, 1 2/5 becomes 7/5 and 2 3/7 becomes 17/7; then add to get 49/35 + 85/35 = 134/35, which simplifies to 3 29/35. Finally, convert back to a mixed number for your answer (source: Math is Fun).

  4. Ordering Fractions Confidently -

    In a timed ordering fractions quiz, compare fractions by cross-multiplying or converting to decimals to rank them quickly. For example, compare 5/8 and 3/4 by evaluating 5×4=20 vs. 3×8=24, revealing 3/4 as larger (source: National Council of Teachers of Mathematics).

  5. Keep-Change-Flip Mnemonic -

    Use the "Keep-Change-Flip" mnemonic when facing subtraction on any subtracting fractions quiz: keep the first fraction, change the sign, and flip the second to its reciprocal. This simple trick transforms a/b - c/d into a/b + d/c and streamlines your fraction operations (source: Florida Virtual School).

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