Videos and lessons to help Grade 4 students learn to understand a fraction a/b witha > 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:

Understanding addition and subtraction of fractions --1 (4.NF.3a)
In this lesson you will learn how to add fractions by joining parts.
Add fractions with like denominators using shapes and sets - 4.NF.3
In this lesson you will learn how to add fractions with like denominators by finding equal parts and grouping them together.

Add fractions with like denominators in number sentences
In this lesson you will learn how to add fractions with like denominators in number sentences by adding adding the numerators and keeping the denominators the same.
Add fractions with like denominators from two different wholes
In this lesson you will learn how to add fractions with like denominators from two different wholes by determining the unit of the fraction that you are being asked to add and then counting those units.

Adding Fractions with Like Denominators on a Number Line
This video shows how add fractions with like denominators and also decompose them on a number line.

## Subtract Fractions

Understanding addition and subtraction of fractions - 2 (4.NF.3a)
In this lesson you will learn how to subtract fractions by separating parts to find the difference.

Subtract fractions with like denominators by labeling shapes - 4.NF.3
In this lesson you will learn how to subtract fractions of a shape with like denominators by labeling shapes broken into equal parts.
Subtract fractions with like denominators by labeling sets
In this lesson you will learn how to subtract fractions of a set with like denominators by labeling sets of objects.

Subtract fractions with like denominators starting from less than 1 whole - 4.NF.3
In this lesson you will learn how to subtract fractions with like denominators when you are not starting with one whole by using and labeling pictures.

## Decompose Fractions

Understand decomposing fractions (4.NF3b)
In this lesson you will learn how to decompose a fraction by breaking up the fraction into a sum of fractions.

You will learn that fractions with numerators greater than 1 are composed of a sum of fractions from the same whole with common denominators.
Decomposing fractions into unit fractions.