Examine the Fractions
Look for matching denominators, matching numerators, familiar benchmarks, or equivalent values.
Free Interactive Math Tool
Ordering Fractions Practice
Arrange fractions from least to greatest or greatest to least while working through common denominators, benchmarks, equivalent fractions, and comparison strategies.
Learn How to Order Fractions First
Learn how to arrange fractions from least to greatest or greatest to least using common denominators, equal numerators, benchmark fractions, equivalent fractions, and comparison strategies.
Read the Ordering Fractions GuideHow It Works
Order Fractions Step by Step
Compare the fractions using a useful strategy, determine their relative values, and arrange them in the requested order.
Use a Strategy
Rewrite the fractions with a common denominator or compare them using another efficient method.
Compare the Values
Determine which fraction is smallest, which is largest, and where the remaining fractions belong.
Arrange the Fractions
Place the fractions in least-to-greatest or greatest-to-least order.
Interactive Practice
Ordering Fractions
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Order From Least to Greatest
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Compare
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Order
Step 1
Identify a useful ordering strategy.
Examine the numerators and denominators. The tool will recommend an efficient method for comparing the fractions.
Recommended Strategy
Find a Common Denominator
Rewrite the fractions using a shared denominator so their numerators can be compared directly.
Step 2
Compare the fractions.
Complete the comparison work before arranging the fractions.
The denominators are equal, so compare the numerators.
The numerators are equal. Fractions with smaller denominators have larger pieces.
Compare each fraction with one-half or one whole.
Compare neighboring fractions by calculating their cross products.
Step 3
Arrange the fractions from least to greatest.
Select each fraction in the correct order. Your selections will appear in the answer row.
Your Order
Great job!
You ordered the fractions correctly.
Remember
Ordering Fraction Rules
Same Denominator
When denominators match, arrange the fractions by their numerators.
2/9 < 5/9 < 7/9
Same Numerator
When numerators match, larger denominators create smaller fractions.
3/10 < 3/7 < 3/4
Common Denominator
Rewrite each fraction with the same denominator, then order the new numerators.
1/2 = 6/12
Benchmark Fractions
Use familiar values such as one-half and one whole to estimate where each fraction belongs.
3/8 < 1/2 < 5/8
Keep Learning
Learn More About Ordering Fractions
Review common denominators, equal numerators, benchmarks, equivalent fractions, comparison strategies, improper fractions, and worked examples in the complete guide.
Read the Ordering Fractions Guide