Fraction Models and Decomposition: Updated

A baker had 8 new boxes of flour. She opened some of them as shown below. Which fraction is equivalent to the fraction of the boxes the baker opened?

• 2/3

• 5/6

• 3/4

• 10/16

Dylan drew the model below. Which number sentence does the model best represent?

• 4/4 + 7/7 = 1 3/8

• 5/8 + 7/8 = 1 4/8

• 5/8 + 8/8 = 1 5/8

• 4/8 + 7/8 = 1 3/8

Which model represents the sum of five sixths and four sixths?

• [Model] + [Model] = [Model]

• [Model] + [Model] = [Model]

• [Model] + [Model] = [Model]

• [Model] + [Model] = [Model]

Look at the estimated sum below. 19/20 + 12/20 is about 1 1/2. The estimated sum is reasonable because –

• A) 19/20 is close to 1/2 and 12/20 is close to 1/2.

• B) 19/20 is close to 1 and 12/20 is close to 1/2.

• C) 19/20 is close to 0 and 12/20 is close to 1/2.

• D) 19/20 is close to 1 and 12/20 is close to 1/4.

Mason has two and three-fifths feet of string as represented by this model. Riley has one and four-fifths feet of string as represented by this model. What is the difference between the two fractions?

• 4/5

• 3/5

• 6/5

• 2/5

Fractions X, Y, and Z are represented on the number lines below. What is the difference between fraction X and fraction Z?

• 1/4

• 4/4

• 3/4

• 5/4

Which model represents seven ninths minus three ninths?

• Model F

• Model G

• Model H

• Model J

Rafael has 13/30 yard of yellow rope and 16/30 yard of black rope. He estimates that he has close to 2 meters of rope in all. Is Rafael correct?

• Yes. Thirteen thirtieths is about one whole. Sixteen thirtieths is about one whole. One whole plus one whole equals two wholes.

• Yes. Thirteen thirtieths is about zero. Sixteen thirtieths is about two wholes. Zero plus two wholes equals two wholes.

• No. Thirteen thirtieths is about one half. Sixteen thirtieths is about one half. One half plus one half equals one whole.

• No. Thirteen thirtieths is about one half. Sixteen thirtieths is about one whole. One half plus one whole equals one and one half.

Which model represents one and four fifths minus five fifths?

• Model A

• Model B

• Model C

• Model D

Cassius drinks 1.4 cups of orange juice each day. Which fraction represents this decimal number?

• 1/40

• 14/100

• 14/10

• 1/4