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Quizzes > Mathematics

Fraction Quiz: Which Fraction Is Greater or Less?

Quick, free compare fractions quiz. Instant results.

Editorial: Review CompletedCreated By: Rachael MillsUpdated Aug 23, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
paper art style interactive fractions quiz with greater and less than symbols on teal background

This fraction quiz helps you compare two fractions and tell which is greater or less. Work through fast questions with instant feedback to build accuracy and speed. For more practice, try our greater than less than quiz, review skills in the adding and subtracting fractions quiz, or apply ideas in a fraction word problems quiz.

Which fraction is greater: 1/2 or 1/3?
1/3
They are equal
Cannot determine
1/2
To compare 1/2 and 1/3, convert them to decimals or find a common denominator. 1/2 equals 0.5, while 1/3 is about 0.333, making 1/2 larger. Using a common denominator of 6 also shows 3/6 > 2/6. .
Which fraction is less: 2/5 or 3/5?
Cannot determine
2/5
They are equal
3/5
When comparing fractions with the same denominator, the one with the smaller numerator is less. Here, both have denominator 5, and 2 is less than 3, so 2/5 is smaller. Converting to decimals shows 2/5 = 0.4 and 3/5 = 0.6. .
Which fraction is greater: 3/4 or 2/3?
2/3
3/4
Cannot determine
They are equal
Convert to decimals or use a common denominator to compare these fractions. 3/4 equals 0.75, while 2/3 is about 0.666, making 3/4 the larger value. With a common denominator of 12, 9/12 > 8/12. .
Which fraction is larger: 5/8 or 5/10?
Cannot determine
5/10
5/8
They are equal
Both fractions have the same numerator, so the smaller denominator gives the larger fraction. Since 8 < 10, 5/8 is greater than 5/10. Converted to decimals, 5/8 = 0.625 and 5/10 = 0.5. .
Which fraction is greater: 7/12 or 2/3?
Cannot determine
7/12
2/3
They are equal
Convert 2/3 to twelfths by multiplying numerator and denominator by 4 to get 8/12. Comparing 7/12 and 8/12 shows that 2/3 is larger. Decimal conversion also shows 2/3 ? 0.666 and 7/12 ? 0.583. .
Which fraction is less: 9/16 or 5/8?
Cannot determine
5/8
9/16
They are equal
Convert 5/8 to sixteenths by multiplying numerator and denominator by 2, giving 10/16. Since 9/16 < 10/16, the fraction 9/16 is smaller. Decimal values confirm this: 9/16 = 0.5625 and 5/8 = 0.625. .
Which fraction is greater: 11/15 or 13/20?
Cannot determine
11/15
They are equal
13/20
Find a common denominator of 60: 11/15 becomes 44/60 and 13/20 becomes 39/60. Since 44/60 > 39/60, 11/15 is greater. Decimal conversions (?0.733 vs. 0.65) confirm this. .
Which fraction is less: 4/7 or 5/9?
5/9
They are equal
4/7
Cannot determine
Convert both to decimals or find a common denominator. 4/7 ? 0.571 and 5/9 ? 0.556, so 5/9 is smaller. With denominator 63, 4/7 = 36/63 and 5/9 = 35/63, confirming 5/9 is less. .
Which fraction is greater: 17/24 or 3/4?
17/24
Cannot determine
3/4
They are equal
Convert 3/4 to twenty-fourths: multiply numerator and denominator by 6 to get 18/24. Since 18/24 > 17/24, 3/4 is larger. Decimal values (0.75 vs. ~0.708) align with this result. .
Which fraction is less: 14/25 or 9/16?
14/25
9/16
Cannot determine
They are equal
Convert to decimals: 14/25 = 0.56 and 9/16 = 0.5625, so 14/25 is slightly smaller. Alternatively, common denominator 400 gives 224/400 vs. 225/400, confirming 14/25 is less. .
Which fraction is greater: 5/14 or 2/5?
Cannot determine
2/5
They are equal
5/14
Convert to decimals: 5/14 ? 0.357 and 2/5 = 0.4, making 2/5 greater. A common denominator of 70 gives 25/70 vs. 28/70, confirming 2/5 is larger. .
Which fraction is greater: 7/11 or 13/21?
7/11
Cannot determine
13/21
They are equal
Convert to decimals: 7/11 ? 0.636 and 13/21 ? 0.619, so 7/11 is larger. With a common denominator of 231, you get 147/231 vs. 143/231, confirming the result. .
Which fraction is greater: 15/28 or 21/40?
15/28
They are equal
21/40
Cannot determine
Use a common denominator of 560: 15/28 becomes 300/560 and 21/40 becomes 294/560, so 15/28 is greater. Decimal conversion shows 15/28 ? 0.536 and 21/40 = 0.525. .
Which fraction is less: 29/45 or 47/75?
29/45
Cannot determine
They are equal
47/75
Convert to a common denominator of 225: 29/45 becomes 145/225 and 47/75 becomes 141/225, making 47/75 smaller. Decimal values confirm this: 29/45 ? 0.644 and 47/75 ? 0.627. .
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Study Outcomes

  1. Understand Fraction Values -

    Interpret how numerators and denominators combine to form a fraction's value, laying the groundwork for accurate comparisons.

  2. Compare Fractions -

    Evaluate pairs of fractions with common or different denominators to determine which is greater or less in our fractions quiz.

  3. Identify Effective Strategies -

    Use benchmark fractions and cross-multiplication techniques to streamline the comparison process and boost accuracy.

  4. Apply Comparison Methods -

    Execute learned techniques on interactive quiz questions, reinforcing your skills through hands-on practice.

  5. Strengthen Number Sense -

    Build confidence and fluency in fraction comparison, enhancing overall math mastery through engaging challenges.

Cheat Sheet

  1. Cross-Multiplication Technique -

    Master this quick trick by multiplying the numerator of the first fraction by the denominator of the second and vice versa; the larger product points to the greater fraction. According to Khan Academy, this method avoids finding common denominators and speeds up your fractions quiz performance. Try comparing 3/7 and 4/9: 3×9=27 vs. 4×7=28, so 4/9 is larger.

  2. Common Denominator Strategy -

    Transform both fractions to share the same denominator before comparing. As recommended by the National Council of Teachers of Mathematics, you multiply each numerator and denominator by the missing factor to match denominators - e.g., to compare 2/3 and 3/5, use 2/3=10/15 and 3/5=9/15 to see 10/15>9/15. This solid approach shines in any fraction comparison quiz.

  3. Benchmark Fraction Reference -

    Use familiar benchmarks like 1/4, 1/2, and 3/4 to quickly locate where your fraction falls on the number line. The Common Core Standards (CCSS.Math.Content.4.NF.A.2) suggest that knowing 5/8 is just above 1/2 instantly tells you 5/8>4/9 without heavy calculation. This mental hack is a lifesaver in any compare fractions quiz.

  4. Proper vs. Improper Classification -

    Remember that proper fractions (numeratordenominator) exceed one. According to the University of Cambridge's pre-algebra guidelines, spotting 7/5>1 instantly shows it's greater than any proper fraction under 1. This simple rule is crucial in greater or less than fractions quiz rounds.

  5. Simplify Before You Compare -

    Reducing fractions to their lowest terms often reveals size relationships more clearly. MIT OpenCourseWare notes that 6/8 simplifies to 3/4, making it easy to see 3/4>2/3 at a glance. Use this step in your fractions quiz routine to boost accuracy and speed.

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