Fractions
Compare fractions with a shared numerator or denominator
Compare positive fractions by separating the number of parts from the size of each part, then explain the comparison rule.
Preview and downloadComparing numbers practice
Comparing fractions
Print a 20-question comparing fractions worksheet with exact <, > and = problems. Choose positive, mixed-sign or negative values and optional denominators through 12.
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Compare the value of each fraction and write <, > or =. Use a common denominator, a familiar benchmark or exact cross-products to justify your choice.
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Learning objective
What this activity builds
Compare fractions as values of the same whole instead of judging their numerators or denominators separately.
Worked example
Which sign belongs in 2/4 __ 2/3?
2/4 < 2/3.
Using twelfths, 2/4 = 6/12 and 2/3 = 8/12. Six twelfths is less than eight twelfths. The equal numerators do not make the two fractions equal because the parts have different sizes.
Teaching notes
Make the practice count
- Use equal-sized fraction strips before relying on a symbolic method.
- Keep the displayed form when comparing: 2/4 and 1/2 have equal value even though their numerals differ, and 3/3 is one whole.
- Begin with positive fractions and the base denominator set. Add more denominators or negative signs only after fraction value and signed number order are secure.
Choose a comparing fractions worksheet
Every sheet has 20 comparisons and always uses denominators 2, 3 and 4. Add any denominators from 5 through 12 for more varied pairs. Numerators run from 1 through the denominator, so the practice can include unit fractions, fractions equal to one and unreduced equivalent forms.
Leave Number signs on Positive for introductory work. Positive and negative mixes the signs, while Negative uses two negative fractions in each pair. Every sheet includes less than, greater than and equal relationships so learners must compare exact values instead of relying on how the fractions look.
How do positive and negative fractions compare?
Any positive fraction is greater than any negative fraction. When both are negative, the value closer to zero is greater: −1/2 > −3/4 even though the positive values have the opposite order, 1/2 < 3/4.
Why does the worksheet include equal fractions?
Equality checks whether learners recognize the same exact value in different forms, such as 1/2 = 2/4, instead of assuming different numerators or denominators must mean different amounts.
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