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Decomposing Mixed Numbers

Practice decomposing mixed numbers into their whole number and fractional parts, and vice versa.

Grade 5 Math FractionsDecomposing Mixed Numbers
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.5.NF.B.3CCSS.MATH.CONTENT.5.NF.B.4

Topics

mathfractionsmixed numbersgrade 5
7 sections · Free to use · Printable
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Decomposing Mixed Numbers Worksheet

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Read each question carefully and follow the instructions to decompose mixed numbers or write improper fractions as mixed numbers.

Decompose the following mixed numbers into a sum of a whole number and a fraction.

1. 3 1/2 =  

2. 4 3/4 =  

3. 2 1/3 =  

4. 5 2/5 =  

Write the following improper fractions as mixed numbers. Use the fraction bar diagrams to help.

5. 7/3 =

7/3

6. 9/4 =

9/4

7. Which of the following is equivalent to 2 3/5?

a

10/5

b

13/5

c

5/5

d

2/5

Determine if the following statements are true or false.

8. The mixed number 1 1/4 can be written as the improper fraction 5/4.

T

True

F

False

9. Decomposing 3 2/3 means writing it as 3 + 2/3.

T

True

F

False

10. Sarah has 2 1/2 pizzas. If each pizza is cut into 4 slices, how many slices does Sarah have in total?