Decomposing Fractions

Which expression is equivalent to 9/8?

• 3/8 + 3/8

• 1/2 + 2/3 + 6/3

• 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9

• 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8

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

The model is shaded to represent one whole. Which expression CANNOT be used to represent this number?

• 4/4 + 4/4 + 4/4

• 1/4 + 1/4 + 1/4 + 1/4

• 4/4 + 4/4 + 3/4 + 1/4

• 3/4 + 3/4 + 3/4 + 3/4

To ​ (a)   a fraction means to break apart.

• decompose

• compose

• equal parts

• numerator

• denominator

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This model can be shaded to represent the fraction 7/4. Which number sentence represents two different ways that 7/4 can be represented with shaded fractions on the model?

• 2/4 + 2/4 + 3/4 = 5/4 + 2/4

• 3/4 + 4/4 + 1/4 = 4/4 + 1/4

• 1/4 + 1/4 + 1/4 + 3/4 = 4/4

• 2/4 + 3/4 + 2/4 = 7/4 + 1/4

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

The shaded parts of the model represent the combined fraction of a small pie that Darrell and Nani ate. Darrell ate 2/9 of the pie. What fraction of the pie did Nani eat?

• 5/9

• 3/9

• 2/9

• 4/9

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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