Examine the Fractions
Look for matching denominators, matching numerators, or another helpful relationship.
Free Interactive Math Tool
Comparing Fractions Practice
Compare fractions step by step while learning how to recognize and use the most efficient comparison strategy for each problem.
Learn How to Compare Fractions First
Learn how to compare fractions using common denominators, common numerators, benchmark fractions, and cross multiplication before beginning the practice activity.
Read the Comparing Fractions GuideHow It Works
Compare Fractions Step by Step
The tool identifies a useful comparison strategy and guides you through the work before you choose the correct comparison symbol.
Use a Strategy
Compare using common denominators, common numerators, a benchmark, or cross products.
Compare the Values
Use the resulting numerators, denominators, or products to determine which fraction is larger.
Choose the Symbol
Complete the comparison using less than, greater than, or equal to.
Interactive Practice
Comparing Fractions
Correct
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Problems
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Streak
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Compare the Fractions
3
4
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5
8
1
Strategy
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Compare
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Symbol
Step 1
Identify the comparison strategy.
Examine the two fractions. The tool will guide you through the most useful comparison method for this problem.
Recommended Strategy
Find a Common Denominator
Rewrite both fractions using the same denominator so their numerators can be compared directly.
Step 2
Compare the fractions.
Complete the work below to compare the two fraction values.
Since the denominators are equal, compare the numerators.
3
?
5
Since the numerators are equal, compare the size of the fractional pieces.
5
?
8
With equal numerators, the fraction with the smaller denominator is greater.
Rewrite the first fraction
3
4
Rewrite the second fraction
5
8
4
9
compared with
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2
5
8
compared with
1
2
3
8
5
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Determine whether the two fractions name the same value.
2
6
3
4
Step 3
Choose the correct comparison symbol.
Use your comparison work to complete the statement.
3
4
5
8
Great job!
You compared the fractions correctly.
Remember
Comparing Fraction Rules
Same Denominator
When denominators are equal, the fraction with the greater numerator is greater.
5/8 > 3/8
Same Numerator
When numerators are equal, the fraction with the smaller denominator is greater.
3/5 > 3/8
Common Denominator
Rewrite both fractions with the same denominator and then compare their numerators.
3/4 = 6/8, so 3/4 > 5/8
Cross Multiplication
Multiply each numerator by the opposite denominator and compare the two products.
3 × 8 > 5 × 4
Keep Learning
Learn More About Comparing Fractions
Review common denominators, common numerators, benchmark fractions, cross multiplication, and worked examples in the complete guide.
Read the Comparing Fractions Guide