# Mixed Numbers (Grade 4)

Videos and lessons to help Grade 4 students learn to understand a fraction a/b with a > 1 as a sum of fractions 1/b.

A. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

B. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

C. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

D. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Common Core: 4.NF.3

### Suggested Learning Targets

• I can use models to add and subtract fractions.
• I can use visual models to decompose a fraction. For example, 7/12 = 4/12 + 1/12 + 1/12 + 1/12.
• I can add or subtract mixed numbers.
• I can solve word problems with fractions.

Related Topics:
More Lessons for Grade 4

Common Core for Grade 4

Add and Subtract Fractions

Fraction Word Problems

## Improper Fractions and Mixed Numbers

Write improper fractions by dividing shapes - 4.NF.3
In this lesson, you will learn how to write improper fractions by dividing shapes into equal pieces and counting those pieces.

Write improper fractions as mixed numbers - 4.NF.3
In this lesson, you will learn how to write and recognize improper fractions as mixed numbers by using the denominator in the improper fraction to help us draw shapes and split them into equal parts.

Write mixed number fractions by drawing shapes.
In this lesson, you will learn how to write mixed number fractions as mixed numbers by drawing shapes and breaking them into equal parts.

Convert improper fractions into mixed numbers by dividing
In this lesson, you will learn how to change improper fractions to mixed numbers. We divide the numerator by the denominator and find the remainder to find the mixed number.

## Add & Subtract Mixed Numbers

Adding and subtracting mixed numbers with like denominators--Lesson 1 of 4 (Common Core 4.NF.3c)
In this lesson, you will learn how to use number lines to add mixed numbers with like denominators by replacing them with equivalent fractions.

Adding and subtracting mixed numbers with like denominators--Lesson 2 of 4 (Common Core 4.NF.3c)
In this lesson, you will learn how to use number lines to subtract mixed numbers with like denominators by replacing them with equivalent fractions.

Adding and subtracting mixed numbers with like denominators--Lesson 3 of 4 (Common Core 4.NF.3c)
In this lesson, you will learn how to use area models to add mixed numbers by using the properties of operations.

Adding and subtracting mixed numbers with like denominators--Lesson 4 of 4 (Common Core 4.NF.3c)
In this lesson, you will learn how to use area models to subtract mixed numbers by using the properties of operations.

4.nf.3abcd
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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