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 Γ π)/(π Γ π) to the effect of multiplying π/π by 1.

Number and OperationsβFractions

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

Interpret multiplication as scaling (resizing), by: