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    Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

     
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    Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

     
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    Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

    Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

     
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    Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.  Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

     
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    Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

    Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.  

    Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.