Grade 5 · Number and Operations—Fractions

CCSS.MATH.CONTENT.5.NF.B.5b

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×a)/(n×b) to the effect of multiplying a/b by 1.

Read this standard on the official Common Core site

Lessons that teach this standard

• Multiplying Fractions: Top Times Top, Bottom Times Bottom

  How to multiply fractions and mixed numbers, why the rule works using an area model, why the product can be smaller than what you started with, and how to cancel first.