Videos and lessons to help Grade 5 students learn to apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

A. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

B. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Common Core: 5.NF.4

### Suggested Learning Targets

• I can create story contexts for problems involving multiplication of fractions and whole numbers or multiplication of two fractions.
• I can find the area of a rectangle with fractional side lengths

Related Topics:

Area of Rectangles with Fractional Lengths

## Multiply a Fraction by a Whole Number

Multiply by fractions using repeated addition - 5.NF.4
In this lesson you will learn how to multiply a whole number by a fraction by thinking about fraction-whole number multiplication as the repeated addition of a fractional part.

Multiply fractions by whole numbers by describing the problem - 5.NF.4
In this lesson you will learn how to multiply fractions with whole numbers by using a sequence of operations to describe the problem.

Interpret the product (a/b) × q as a part of a partition of q into b equal parts--1 of 4 (5.NF.4a)
In this lesson you will learn how to multiply a whole number by a fraction by using area models and repeated addition.

Interpret the product (a/b) × q as a part of a partition of q into b equal parts--2 of 4
In this lesson you will learn how to multiply a whole number by a fraction by using area models and repeated addition. The solution is a mixed number.

## Multiply a Fraction by a Fraction

Multiply fractions by fractions by finding a part of a part - 5.NF.4
In this lesson you will learn how to multiply fractions with fractions by finding a part of a part and by drawing a picture to help.

Multiply fractions by fractions using a sequence of operations - 5.NF.4
In this lesson you will learn how to multiply fractions with fractions by using a sequence of operations to describe the problem

Interpret the product (a/b) × q as a part of a partition of q into b equal parts--3 of 4
In this lesson you will learn how to multiply a fraction by a fraction by using area models.

Interpret the product (a/b) × q as a part of a partition of q into b equal parts--4 of 4
In this lesson you will learn how to multiply a fraction by a fraction by using area models and repeated addition. The solution is a mixed number.

Multiplying Fractions
5.NF.4.a [multiply a fraction by a fraction or whole number]

A Passion for Fractions
Grades 3-5 / Math / Reasoning
CCSS: Math.5.NF.B.4b Math.Practice.MP2 Math.Practice.MP3
Lesson Objective
Multiply a fraction by a fraction

5.nf.4a
The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

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