zMath 160  - Unit 7: Dividing Fractions and Mixed Fractions; Numeric and Geometric Patterns

Modeling Division of Fractions


1)

A 6-inch diamond tennis bracelet is made up of diamond links that are 3/8 of an inch wide.  Draw a model to determine how many diamonds are in the bracelet?  Describe your model and include the number of diamonds in the bracelet.


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2)

Is the answer to the division problem in problem #1 bigger than either of the two numbers being divided?


3)

Lauren is buying a necklace that is 20 inches long.  She is selecting the links that will be made into the necklace.  She wants the links to fit perfectly into 20 inches.  Select the length of the link below which will work.  Draw a model to check your answer.


4)

Rachel has 4 1/3 pies.  She wants the slices to be 1/6 the whole pie.  Which visual is the correct for representing this situation?


Dividing Fractions


5)

Solve.


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6)

Find the quotient.


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7)

Find the quotient.


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8)

Find the quotient.


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9)

Find the quotient.


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10)

Find the quotient.


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11)

Solve these two division problems. Which one has a quotient that is larger than either the dividend or the divisor, Problem A or Problem B?


Review


12)

6 parts out of 9 can be written as and simplified into what fraction?


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13)

What is the GCF for 20 and 21?


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14)

What is the LCM for 18 & 36?


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15)

Solve.


16)

Find the sum. 


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17)

Find the sum. 


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18)

Find the difference. 


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19)

Find the product. 


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20)

In this geometric design, find a pattern that the artist used to create the design. Write a rule that would describe the pattern in the design and how to create it.


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