Add and Subtract Fractions by Decomposing

The two models are shaded to represent the same fraction, 5/7: Which equation shows that the two models represent the same fraction?

• 2/7 + 3/7 + 4/7 = 4/7 + 1/7

• 2/7 + 3/7 + 5/7 = 5/7 + 1/7

• 1/2 + 1/3 + 1/4 = 1/4 + 1/1

• 1/2 + 1/3 + 1/5 = 1/5 + 1/1

Ignacio and Elaine read the same book. The shaded part of each model represents the fraction of the book that each student read. Which expression can be used to find the difference between the fraction of the book Elaine read and the fraction of the book Ignacio read?

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The model is shaded to represent a mixed number with a value greater than 1 whole. Which equation shows two different ways to represent this mixed number as a sum?

• 2/3 + 3/3 = 1 + 1/3

• 4/3 + 5/3 = 3 + 2/3

• 4/3 + 3/3 = 2 + 1/3

• 4/3 + 5/3 = 3 + 1/3

• 5/3 + 2/3 = 4 + 1/3

The blank model shown can be shaded to represent 7/10. Which expression does NOT show a way to represent 7/10 as a sum of fractions?

• 2/10 + 2/10 + 2/10 + 1/10

• 4/10 + 3/10 - 3/10

• 6/10 + 1/10

• 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10

Kayden has 3/9 of a pizza and Laila gave her 2/9 of a pizza.  How much pizza does Kayden have now?

• 5

• 5/9

• 1/9

• 6/9

Decompose this fraction.

• 1/6 + 1/6 +1/6 +1/6

• 1/4 + 1/4 + 1/4 +1/4 1/4

• 1/4 +1/4 + 1/4 + 1/4 +1/4 1/4

How can you decompose 4/7?

• 1/7 + 1/7 + 1/7 + 1/7

• 2/7 + 2/7

• 3/7 + 1/7

• all of the above

Which of the following is not a way to decompose 8/12

• 1/12, 1/12, 1/12, and 5/12

• 5/12 and 2/12

• 8/12 + 0/12

• 2/12 + 2/12 + 3/12 + 1/12

Which one correctly decomposes the shaded portion, using only unit fractions?

• 3/4 = 1/4 + 2/4

• 3/4 = 1/4 + 1/4 + 1/4

• 3/4 = 2/4 + 1/2

The fraction (5/8) can be represented by this expression:

1/8 + 1/8 + 1/8 + 1/8 + (a)  

Which fraction belongs in the blank to complete the expression?

• 4/8

• 1/32

• 1/8

• 5/8

Tags

3.3.D