Fractions practice

Order fractions

Arrange a group of fractions in the requested direction using exact comparisons and a consistent common unit.

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Read whether the order should be least to greatest or greatest to least. Compare the exact values using common denominators or justified benchmarks, then write every original fraction in the requested order.

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Learning objective

What this activity builds

Build a complete fraction ordering rather than compare only a single pair or sort the numerators alone.

Worked example

Order 3/4, 2/3 and 5/8 from least to greatest.

5/8 < 2/3 < 3/4.

Using twenty-fourths gives 18/24, 16/24 and 15/24 respectively. Their numerator order shows which values are smallest, while the final response keeps the original fraction names.

Teaching notes

Make the practice count

  • Use zero, one-half and one as a quick first check before a detailed comparison.
  • Cross off each original fraction only after placing it, so no term is omitted or repeated.
  • After ordering, verify adjacent pairs and reread the requested direction.

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Fractions per problem
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Math SheetNameScoreTeacherDate/ 43Ordering FractionsOrder each selected-size group from least to greatest or greatest to least.1.Order from least to greatest.3545682.Order from least to greatest.231258353.Order from least to greatest.25351812134.Order from least to greatest.1314343578710math-sheet.comPage 1 / 3
Math SheetNameScoreTeacherDate/ 43Ordering FractionsOrder each selected-size group from least to greatest or greatest to least.5.Order from least to greatest.2312346.Order from least to greatest.382378147.Order from least to greatest.35121534588.Order from least to greatest.1258153423810math-sheet.comPage 2 / 3
Math SheetNameScoreTeacherDate/ 43Ordering FractionsOrder each selected-size group from least to greatest or greatest to least.9.Order from least to greatest.14381510.Order from least to greatest.3441021014math-sheet.comPage 3 / 3

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