# Common Core MATH 5 NF 5b Grade 5 Number And Operations Fractions Apply And Extend Previous Understandings Of Multiplication And Division To Multiply And Divide Fractions

**Number And Operations - Fractions: Apply And Extend Previous Understandings Of Multiplication And Division To Multiply And Divide Fractions.**

Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a)/(n x b) to the effect of multiplying a/b by 1.

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