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Exploring Equivalent Fractions through Multiplication and Division Activities

Enhance math fluency by discovering equivalent fractions through multiplication and division exercises. Develop proportional relationships and simplify answers for better comprehension. Practice with simple pairs of proper fractions to build confidence in fraction arithmetic.

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Exploring Equivalent Fractions through Multiplication and Division Activities

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  1. Multiplying and Dividing Fractions

  2. Equivalent Fractions • Multiplication preserves the proportional • relationships and produces equivalent • fractions • You have 2 minutes to write down as many • equivalent fractions to ½ • This activity can become a useful routine • to develop fluency.

  3. Expectations for multiplicationof fractions Y6 POS multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. × = ) 1 1 1 4 2 8

  4. Try These 1 1 1 1 1 2 1 1 X X X X 2 4 4 4 3 4 3 3

  5. What do you notice? = 2 1 1 2 1 1 1 1 1 X X X 3 4 4 16 12 3 4 4 12 = =

  6. Expectations for Division of Fractions Y6 POS divide proper fractions by whole numbers (e.g. ÷ 2 = ) 1 1 3 6

  7. Try these • ÷ 2 • ÷ 3 • ÷ 2 • ÷ 2 2 1 1 1 5 5 3 2

  8. What do you notice? • ÷ 2 • ÷ 3 • ÷ 2 • ÷ 2 x x x x 1 2 1 1 1 1 1 1 1 1 2 1 5 5 3 2 3 2 2 3 2 5 5 2

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