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Area with Fractions

Mathematics · Fractions · representational

Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths

What mastery looks like

  • Tile a 2/3 × 3/4 rectangle with 1/12 squares and count to find area = 6/12 = 1/2
  • Explain why the number of unit-fraction tiles equals the product of the two fractions
  • Calculate the area of a rectangle with sides 1 1/2 and 2/3 using fraction multiplication

Check your understanding

If a piece of fabric is 2/3 m long and 3/4 m wide, can Area with Fractions work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?