Decomposing Mixed Numbers

A Grade 8 math worksheet focusing on decomposing mixed numbers into their whole number and fractional parts, and vice versa.

Grade 8 Math FractionsDecomposing Mixed Numbers

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Includes

2 Fill in the BlanksShort AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.4.NF.B.3.BCCSS.MATH.CONTENT.5.NF.A.1

Topics

mathfractionsmixed numbersdecompositiongrade 8

7 sections · Free to use · Printable

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Decomposing Mixed Numbers

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Read each question carefully and provide the best answer. Show your work where necessary.

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

1. 3 1/2 = +

2. 5 3/4 = +

3. 2 5/6 = +

4. 7 1/3 = +

1. Represent the mixed number 2 1/4 using fraction bars. Then, decompose it into its whole number and fractional parts. Draw your fraction bars below.

2. Represent the mixed number 1 3/5 using fraction bars. Then, decompose it into its whole number and fractional parts. Draw your fraction bars below.

1. Which of the following correctly decomposes 4 2/3?

4 + 3/2

4 + 2/3

2 + 4/3

3 + 2/4

2. Which expression is equivalent to 6 1/5?

5 + 1/6

6 + 5/1

6 + 1/5

1 + 6/5

Compose the following sums into a mixed number.

1. 4 + 3/7 =

2. 1 + 5/8 =

3. 8 + 1/9 =

4. 2 + 2/3 =

Determine if the following statements are true or false.

1. The mixed number 5 1/2 can be decomposed as 5 + 1/2.

True

False

2. The sum 3 + 4/5 can be composed into the mixed number 3 4/5.

True

False