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 π’/π£ = (π―Γπ’)/(π―Γπ£) to the effect of multiplying π’/π£ by 1.

Number and Operations-Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Interpret multiplication as scaling (resizing), by: