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Decomposing Mixed Numbers

Practice decomposing mixed numbers into whole numbers and fractions, and improper fractions.

Grade 4 Math FractionsDecomposing Mixed Numbers
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Includes

2 Fill in the BlanksShort AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.4.NF.B.3.B

Topics

mathfractionsmixed numbersgrade 4decomposition
6 sections · Free to use · Printable
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Decomposing Mixed Numbers

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Read each question carefully and decompose the mixed numbers as instructed. Show your work where necessary.

Decompose each mixed number into a whole number and a fraction. Use the fraction bars to help you.

1. 2 1/4 =   +  

2 1/4

2. 1 3/5 =   +  

1 3/5

Draw fraction bars to represent the following mixed numbers. Then, decompose them.

1. 1 1/3

Decomposition:   +  

2. 2 1/2

Decomposition:   +  

Decompose each mixed number into an improper fraction.

1. 1 1/4 =  

2. 2 3/4 =  

3. 3 1/2 =  

1. Which of the following shows the correct decomposition of 1 2/3?

a

1 + 1/3 + 1/3

b

1 + 2/3

c

1/3 + 1/3

d

3/3 + 2/3

2. The mixed number 2 1/5 can be written as which improper fraction?

a

10/5

b

11/5

c

2/5

d

7/5