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Modeling Multiplication of Fractions: An Array Approach

Learn how to multiply fractions by fractions through modeling and visual representation using arrays. Understand the concept with clear examples and practical exercises. Enhance your understanding of fraction operations.

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Modeling Multiplication of Fractions: An Array Approach

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  1. Modeling Multiplication of a Fraction by a Fraction

  2. The operation of multiplying two fractions requires us to multiply numerators and denominators. Example: 1/3 x 3/4 = 3/12 Which is equivalent to = 1/4

  3. When we multiply whole numbers we can model the multiplication to arrive at the answer. We can call this an array! 3 Example: 4 x 3 4

  4. We start with the group, in this case the second fraction, 2/3. 3/4 x 2/3 2/3

  5. Then we divide the square in the other direction to model multiplication by 3/4. 2/3 3/4

  6. How many small units are shaded under both fractions out of the total square? 2/3 1 2 3 4 3/4 5 6

  7. 6 small units are shaded by both fractions out of 12 total in the whole square. 2/3 3/4

  8. 3/4 x 2/3 = 6/12 2/3 3/4

  9. Try this in your notebook using different colored pencils: 1/3 of 1/4 =

  10. How about this one: 2/3 of 3/5 =

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