Fractions practice

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.

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Check which part of the fractions is shared. With equal denominators, compare the counts of equal-sized parts. With an equal positive numerator, compare the sizes of the parts. Write the relation and complete any explanation prompts using those ideas.

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Learning objective

What this activity builds

Use shared numerators or denominators to compare fraction values while keeping the whole fixed.

Worked example

Compare 3/8 with 5/8, and then compare 3/8 with 3/10.

3/8 < 5/8, and 3/8 > 3/10.

Three eighths is less than five eighths because the parts have the same size. Three eighths is greater than three tenths because an eighth is larger than a tenth of the same whole, and both fractions count three parts.

Teaching notes

Make the practice count

  • Ask which feature stayed fixed before choosing a comparison strategy.
  • Use equal-sized bars to explain why larger denominators mean smaller positive unit fractions.
  • Require a short explanation as well as a symbol so a correct guess does not hide a reversed rule.

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Configured PDF · Same-numerator or Same-denominator Comparison · US Letter

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Math SheetNameScoreTeacherDate/ 18Same-numerator or Same-denominator ComparisonCompare fractions that share a numerator or denominator.1.48582.59693.47574.37475.79896.13237.23138.36469.41151110.231311.675712.162613.21031014.182815.11221216.687817.With equal denominators, the fraction withthe ____ numerator is larger.18.With equal numerators, the fraction with the____ denominator is larger.math-sheet.comPage 1 / 1

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