Numbers and Operations – Fractions: Add & Subtract Mixed Numbers CCSS 4.NF.3C Facts & Worksheets

At the end of the lesson, the student will be able to apply the knowledge of adding and subtracting fractions to a higher level of knowing how to add and subtract mixed numbers.

See the fact file below for more information on adding and subtracting mixed numbers or alternatively, you can download our 30-page Numbers and Operations – Fractions: Add & Subtract Mixed Numbers worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

Learning Objective

At the end of the lesson, the student will be able to apply the knowledge of adding and subtracting fractions to a higher level of knowing how to add and subtract mixed numbers. The student will learn that adding and subtracting mixed numbers is similar to adding and subtracting both whole numbers and fractions.

A Note for the Teacher

When adding and subtracting fractions, take note of the following:

• Start by identifying if the fraction is a mixed number or an improper fraction.
• Check if the fractions have the same denominator.
• Remember that whole numbers can be added or subtracted by whole numbers only.
• Simplify your answer.

Theory

We know that we can add whole numbers by simply joining the two values together. Similarly, we learned that adding fractions uses the same technique by joining the numerators together to have a sum.

On the other hand, we know that getting the difference between two whole numbers means that we subtract the smaller value from the bigger value. In fractions, we also use this method of separating a smaller value of the numerator from the bigger value of the other numerator.

In adding and subtracting mixed numbers, we go through a process of both adding (or subtracting) whole numbers and fractions.

Consider  2  1/6 + 4  3/6

To get the sum, we can add the whole numbers first: 2 + 4 = 6

Then, add the fractions afterward:   1/6  +  3/6   =  4 /6

We get a whole number as 6 and the fraction as  4 /6 

Joining both together will make a mixed number of 6 4 /6

Another way to think about it is by rewriting the expression as:

2 +  1/6  + 4 + 3/ 6     

We can now see that we can rearrange the order and add the whole numbers and the fractions, respectively.

Next, consider  3  2/4+ 1  3/4

By doing the same method, we will get a sum of 4 5/4

Notice that the numerator 5 is greater than the denominator 4. Remember that a whole can be written as 1 = a/a

In the case of 5/4, we can decompose the fraction as 4/4 and 1/4

This makes the sum become 4 +  4    +  1     = 4 + 1 +      =  5 1/4

Learning this, in a fraction, if a>b, decompose it to retrieve a 

whole and add the necessary numbers together.

Numbers and Operations – Fractions: Add & Subtract Mixed Numbers CCSS 4.NF.3C Worksheets

This is a fantastic bundle that includes everything you need to know about Fractions: adding and subtracting mixed numbers across 30 in-depth pages. These are ready-to-use worksheets that align with the Common Core code 4.NF.3C for Numbers and Operations – Fractions: Add & Subtract Mixed Numbers.

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Complete List of Included Worksheets

• A lesson plan
• Warm-up activity
• Math theory explained
• Assisted learning activities
• Independent learning activities
• Extension activities and games
• Answer keys

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