Section 1
Finding a Unit Fraction of a Set
Property
Finding a unit fraction of a set is equivalent to dividing the total number in the set () by the denominator (). This calculation finds the size of one equal part.
In this Grade 5 Eureka Math lesson from Chapter 21, students learn to relate fractions as division to finding a fraction of a set, working with expressions such as 1/3 of 6 and 1/4 of 12. Using counters and arrays, students practice rewriting division sentences as fractions and determine the value of unit and non-unit fractions of a given whole number. This lesson builds the conceptual foundation for multiplying whole numbers by fractions.
Section 1
Finding a Unit Fraction of a Set
Finding a unit fraction of a set is equivalent to dividing the total number in the set () by the denominator (). This calculation finds the size of one equal part.
Section 2
Using Tape Diagrams to Find a Fraction of a Set
A tape diagram can model finding a fraction of a set, of .
The tape represents the total number, , and is divided into equal units (the denominator).
The value of units (the numerator) is the answer.
Expand to review the lesson summary and core properties.
Section 1
Finding a Unit Fraction of a Set
Finding a unit fraction of a set is equivalent to dividing the total number in the set () by the denominator (). This calculation finds the size of one equal part.
Section 2
Using Tape Diagrams to Find a Fraction of a Set
A tape diagram can model finding a fraction of a set, of .
The tape represents the total number, , and is divided into equal units (the denominator).
The value of units (the numerator) is the answer.