In this Grade 5 Eureka Math lesson from Chapter 23, students learn to multiply non-unit fractions by non-unit fractions, such as finding 2/3 of 3/4, by building on their understanding of unit fraction multiplication. Students use rectangular area models and reasoning strategies to find products and express results in simplest form. The lesson connects fraction multiplication to real-world contexts and reinforces related skills including converting fractions to decimals and equivalent hundredths.
Section 1
Modeling Fraction Multiplication with an Area Model
Multiplying two fractions, , is equivalent to finding a part of a part, or of .
An area model visualizes this by partitioning a whole into smaller rectangles.
The product is the fraction of the whole that is represented by the double-shaded area.
Section 2
The Standard Algorithm for Fraction Multiplication
To multiply two fractions, multiply the numerators to find the new numerator and multiply the denominators to find the new denominator.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Modeling Fraction Multiplication with an Area Model
Multiplying two fractions, , is equivalent to finding a part of a part, or of .
An area model visualizes this by partitioning a whole into smaller rectangles.
The product is the fraction of the whole that is represented by the double-shaded area.
Section 2
The Standard Algorithm for Fraction Multiplication
To multiply two fractions, multiply the numerators to find the new numerator and multiply the denominators to find the new denominator.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter