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Decomposing Fractions

Subject Area: Mathematics (B.E.S.T.) | Grade Level: 4
Lesson Length: 15 minutes or less
Keywords/Tags: MA.4.FR.2.1, fractions, decomposing fractions, mixed numbers
Lesson Description: Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.

MA.4.FR.2.1 Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.

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Video : How to decompose fractions: 4th Grade Math

Instructions: Please watch this short video by Ms. Kachtou about decomposing fractions. Do not be afraid of the mixed number. These are the steps we will follow for every fraction that we break down. :)

Description: In this video see three examples of how to decompose (break apart) a mixed number using visuals!

Video : Improper Fractions & Mixed Numbers | Learning Maths

Instructions: Watch this video if you need more information about mixed numbers :)

Description: Introduce children to improper fractions and mixed numbers. Teach children how to convert between the two.

Quiz : Decomposing Fractions Quiz

Instructions: Please complete this quiz by choosing the correct answer for each question. You can take this quiz as many times needed.

Question #1

What are mixed numbers?

A) Numbers from outer space!!!!

B) A number that includes a whole number and a fraction

C) A whole number

D) A fraction

Question #2

What is the meaning of decomposing?

A) Breaking apart

B) Adding together

Question #3

In the video example, Ms. Kachtou first breaks down the mixed number into three parts.

A) Yes

B) No

Question #4

What whole number is the fraction 4/4 equal to?

A) 2

B) 50000

C) 1

D) 1/4

Question #5

How many fourths are in the number 2 and 1/4 ?

A) 4

B) 2

C) 7

D) 9

Question #6

Into how many parts does Ms. Kachtou break down 2 and 1/4 in her second example?

A) 3

B) 2

C) 1

Question #7

2 and 1/4 is a mixed number that is equal to 9/4.

A) True

B) False

Question #8

In example three, please write the four fractions that Ms. Kachtou breaks 9/4 down to.

Student Response

Question #9

Now, it's your tu. Choose the option that shows the mixed number 5 1/3 as a fraction.

A) 16/3

B) 8/3

C) 16/1

D) 9

Question #10

Finally, choose the option that shows a correct decomposition of the mixed number 5 1/3 (or, 16/3, as a fraction ;)).

A) 6/2 + 6/2 + 4/2

B) 8/3 + 5/3 + 3/3

C) 5/3 + 1/3

Description: Watch the video before taking this quiz.

Resources : Decompose Fractions with Denominators of 10, 100, 1000

Instructions: https://www.mathgames.com/skill/4.124-decompose-fractions-with-denominators-of-10-100-1000

Decompose fractions with denominators of 10, 100, 1000
Online game

Description: If you understand this lesson so far and would like a challenge, try this online activity decomposing fractions of base 10, 100 and 1000. Remember, this is not for a grade! Try your best!

Resources : Converting Improper Fractions to Mixed Numbers

Instructions: https://mrnussbaum.com/fractions-converting-improper-fractions-to-mixed-numbers-online

Converting improper fractions to mixed numbers
Online game

Description: Try your hand at converting improper fractions to mixed numbers.

Resources : Add Two Mixed Fractions

Instructions: https://www.mathgames.com/skill/4.63-add-two-mixed-fractions

Add two mixed fractions
Online game