Name Date 5.NF.B.3 Class

Fraction as DivisionKey Takeaways

Standard: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Previously, we always got a whole-number quotient when we divided whole numbers. Now, we know we can sometimes get an improper fraction(greater than 1) quotient, or a proper fraction (less than 1) quotient, when we divide whole numbers. We also know that a fraction can be interpreted as the numerator being divided by the denominator.

Vocabulary:Numerator: The numerator contains the number of those parts being described by the fractionDenominator: The denominator of a fraction shows how many equal parts or pieces the whole has been split intoEquivalent fractions: Fractions that represent the same number are called equivalent fractions.Improper fraction: When a fraction’s numerator is greater than the fraction’s denominatorMixed number: A whole number and fractionConvert: To changeBenchmark/Landmark: Common fractions or numbers that are end points or easy to recognize are benchmark numbers. For example, 0, ½, and 1 are all benchmarks.

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Let’s Explore!Part AMs. Jones ordered some cakes for the top students in the school to split. There were 3 cakes, and she split them equally among 5 students. There was no cake leftover. How much cake will each student get? Solve using a model.

Part BMr. Hill ordered 5 cakes for the top 3 students to split. There was no cake leftover. How much cake will each student get from Mr. Hill? Solve using a model.

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Independent Practice (Mild)1) Five brothers are going to share two brownies. How much brownie will each brother

get?

A 5 browniesB 2 brownies

C 25 of a brownie

D 15 of a brownie

E 52 brownies

2) Mr. Chen gave the eighth graders the following problem: 4 ÷ 7. He asked them to write it as a fraction. Which answer is correct? Prove your answer using a model:

A 37

B 74

C 47

D 73

3) Ms. Fischer bought a 16-pound bag of potting soil. She puts an equal amount of potting soil into each of 3 flower pots. How many pounds of soil does Ms. Fischer put in each pot?

A. 316 pound

B. 434 pounds

C. 5 116 pounds

D. 5 13 pounds4

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4) Mr. Bell has 26 trays of brownies. He divides the trays to share with the six 5th and 6th grade homerooms. Which phrase describes how many trays of brownies each homeroom will receive?

A more than 3 and less than 4B more than 4 and less than 5C more than 6 and less than 7D more than 7 and less than 8

5) An ice cream shop uses 4 pints of ice cream to make 5 sundaes. How many pints of ice cream are used for each sundae?

A 45 pint

B 54 pints

C 49 pint

D 94 pints

6) An ice cream shop makes 4 identical sundaes using 5 bananas. How many bananas are used in each sundae?

A 45 banana

B 54 bananas

C 49 banana

D 94 bananas

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Independent Practice (Medium)7) A teacher gives 4 packs of paper to share with three students. How much paper will

each student get? Solve using a model and write a division statement to represent the problem.

8) Ms. Dillane has 3 brownies. Eight people are going to split the brownies. How much brownie will each person get? Solve using a model and write a division statement to represent the problem.

9) Write a story problem that results in a quotient of 25. Prove the quotient.

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10) Write a story problem that results in a quotient of 52. Prove the quotient.

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11) When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to use it to paint murals. They split the paint equally among the four classes. a. How much paint did each class have to paint their mural?

b. How much paint will three classes use? Show your thinking using words, numbers, or pictures.

c. If 4 students share a 30-square-foot wall equally, how many square feet of the wall will be painted by each student?

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d. What fraction of the wall will each student paint?

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Independent Practice (Spicy)12) Mr. Crume was preparing for Thanksgiving. There were going to be 12 people at

Thanksgiving dinner. 9 of the people attending don’t like dessert, so he only made 2 pans of brownies to be split between everyone else who does like dessert. How much of a pan of brownies will everyone eating dessert get?

13) Ms. Dully wanted to host an RPC Book Club. There are 40 teachers at RPC. 25 of them could not attend. She bought 8 pizzas for everyone who was able to come. How much pizza would each teacher at Book Club get?

14) A student solved the following word problem and got an answer of 2 bags for each cat: Kareem had 4 cats, and 2 bags of cat food. He wanted to split the food equally between all 4 cats. How much of a bag of food did each cat get?

Is this student correct or incorrect? If incorrect, explain how to correct their mistake.

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______________________________________________________________________________________________________________________________________Name Date 5.NF.B.3 Class

Fraction as DivisionExit Ticket

1) Which expression is equivalent to the fraction 58?A. 8÷5B. 5÷8C. 5×8D. 8×5

2) Famatta has 4 best friends. She wants them to equally share 9 cookies she has left over from a party. How many cookies can each friend get?

A 49 of a cookie

B 199 cookies

C 54 cookies

D 94 cookies

3) Write a story problem that represents the expression 3 ÷ 4. Make sure to include the value of the quotient in your response.

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Name Date 5.NF.B.3 Class

Fraction as DivisionHomework

1) Three students are going to share two pizzas. How much pizza will each student get? Use a model to support your thinking.

Division expression: _______________

2) 7 pieces of gum are to be split evenly among 5 friends. How much gum will each friend receive? Draw a model to show your work.

3) Five cupcakes are to be shared equally by six people. How much will each person receive? Prove your answer with a model.

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4) Sania has 5 favorite teachers. She wants them to share 2 liters of punch. How many liters of punch will each teacher receive?

5) Leah bought 9 cans of cat food. She has to feed her 5 kittens the same amount of food. How much cat food will each kitten receive? Draw a model to show your answer.

Mixed Review!Solve the following problems. Remember to use MOLE and show all your work!

6) Jasmine spent 28 of an hour practicing the piano on Monday and 38 of an hour on

Tuesday. She spent another 14 of an hour practicing on Wednesday. How much time did Jasmine spend practicing her piano all together that week?

A 78 of an hour

B 68 of an hour

C 58 of an hour

D 620 of an hour

7) Callie's camera weighs 56 pounds and its case weighs 35 pounds. What is the total weight of Callie's camera and case?

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A 4330 pounds

B 811 pound

C 3043 pound

D 4530 pounds

8) Jonathan has eight bags of potato chips. Each bag contains 27 chips. Jonathan eats 30 chips for lunch and gives 40 other chips away. How many potato chips does Jonathan have now?

A 146B 216 C 186 D None of the above

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