A part of a rate? Is that possible?
The activity Unit Rates with Ratios of Fractions provides many real world opportunities for students to find unit rates when one or both quantities are fractions. A variety of tools and representations are available to help students with this concept: a walking bug, double number lines, tables, and more.
The activity extends students’ conceptual understanding of unit rate and reinforces dividing both parts of the rate by the denominator to result in 1 unit in the denominator. The result– a unit rate! The activity further leads them to understand that of course dividing by the denominator is equivalent to multiplying by its reciprocal, and further leads to a shortcut–simply multiply the numerator by the reciprocal of the denominator. Students come to realize that the only difference between a unit rate with fractions and one with whole numbers is in working with the different types of numbers.