Fractions and Problem Solving SOL 6.5

Each hexagon represents 1 whole. Which product is best represented by the shading shown on this model?

• $3\times6$

• $3\times\frac{1}{6}$

• $\frac{1}{3}\times\frac{1}{6}$

• $\frac{1}{3}\times6$

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CCSS.5.NF.B.4

CCSS.5.NF.B.5

CCSS.5.NF.B.6

Which expression is best represented by this model?

• $\frac{1}{7}\times\frac{1}{4}$

• $\frac{3}{7}\times\frac{1}{4}$

• $\frac{1}{7}\times\frac{3}{4}$

• $\frac{3}{7}\times\frac{3}{4}$

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CCSS.5.NF.B.4

CCSS.5.NF.B.6

What is the product of $2\frac{2}{3}$ and $1\frac{1}{6}$ ?

•  $2\frac{1}{9}$ 

•  $2\frac{2}{7}$ 

•  $3\frac{1}{9}$ 

•  $3\frac{5}{6}$ 

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CCSS.5.NF.B.4

CCSS.5.NF.B.6

Solve $4\frac{1}{2}\div\frac{3}{4}$ 

•  $\frac{6}{36}$  

•  $3\frac{3}{8}$  

• 6

• 8

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CCSS.5.NF.B.3

CCSS.5.NF.B.7

What is the equation to this division model?

• $3\div\frac{1}{4}=12$

• $12\div\frac{1}{4}=3$

• $3\times\frac{1}{4}=12$

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CCSS.5.NF.B.3

CCSS.5.NF.B.7

Nigel has 3 rolls of ribbon. Each roll has $8\frac{3}{4}$ feet of ribbon. It takes $1\frac{3}{4}$  feet of ribbon to make one bow. What is the total number of bows that Nigel can make using these 3 rolls of ribbon?

• 1 bow

• 3 bows

• 8 bows

• 15 bows

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CCSS.5.NF.B.4

CCSS.5.NF.B.6

On Monday, Mark ran $1\frac{1}{5}$  miles to school and then  $\frac{1}{2}$ miles to his grandmother’s house after school. On Tuesday, he ran twice as much as the previous day. How far did Mark run on Tuesday?

•  $3\frac{2}{5}$  

•  $3\frac{1}{5}$  

•  $1\frac{7}{10}$  

•  $1\frac{2}{7}$  

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CCSS.5.NF.B.4

CCSS.5.NF.B.5

CCSS.5.NF.B.6

hlMs. Wright’s two cooking classes are making a total of 60 sweet potato pies. Each pie requires $2\frac{1}{4}$  sweet potatoes. Her first class makes  $\frac{1}{3}$  of the total number of pies needed. Exactly how many sweet potatoes will her second class need in order to make the remaining pies?

• 135

• 90

• 62

• 45

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CCSS.5.NF.B.4

CCSS.5.NF.B.6

Hannah has a ribbon that is  $6\frac{1}{3}$ inches long. If she cuts off  $2\frac{3}{4}$ inches, how much ribbon does she have left?

•  $4\frac{5}{12}$  

• 3

•  $3\frac{7}{12}$  

• 4

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

Dean bought $4\frac{1}{2}$  gallons of gasoline to use in his lawnmower. If he uses  $\frac{3}{4}$  gallon each time that he mows the yard, how many times can he mow the yard before he runs out of gasoline.

•  $3\frac{3}{4}$  

•  $4\frac{3}{8}$  

• 5

• 6

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CCSS.5.NF.B.3

CCSS.5.NF.B.6