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Fractions practice

Cross-cancel before multiplying fractions

Reduce common numerator and denominator factors before multiplication to keep the product calculation manageable.

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Worksheet · LetterWorksheet · A4
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Look for a numerator and a denominator in the product that share a factor. Divide both by that factor, show the changed values and then multiply. If no common factor exists, multiply directly.

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A4

Student worksheetWorksheet with answers
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Learning objective

What this activity builds

Use common factors to simplify a product without changing its value, and recognize when no cancellation is available.

Worked example

Simplify 14/15 × 9/28 before multiplying.

(1/5) × (3/2) = 3/10.

Divide 14 and 28 by 14 to obtain 1 and 2. Divide 9 and 15 by 3 to obtain 3 and 5. The remaining numerator factors multiply to 3 and denominator factors to 10.

Teaching notes

Make the practice count

  • Write the shared divisor beside each cancellation so the equality can be checked.
  • Include products with no useful common factors; cancellation is a tool, not a required decoration.
  • Compare the reduced calculation with multiplying first and simplifying afterward.

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Configured PDF · Cross-canceling Fractions · US Letter

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Math SheetNameScoreTeacherDate/ 10Cross-canceling FractionsCancel common factors before multiplying.1.54×252.210×353.22×7104.13×245.24×126.34×3107.64×738.12×129.610×6210.45×15math-sheet.comPage 1 / 1

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