Name: ___________________________________________________________ Period:_________

Solve Word Problems Involving Division of Fractions

Summary: Add, subtract, multiply, and divide fractions.

Domains: 1) Interpret and compute quotients of fractions, and solve word problems

involving division of fractions by fractions, e.g. by using visual fraction models and equations to represent the problem.

Teacher’s Score

Notes: ______/10

Problem Solving: ______/5

Grading Homework: ______/5

SUB-TOTAL: _____/20

Deductions:

Missing Parent Signature (-1) _______

Late (-5 each day it is late) _______

TOTAL: ________/20

Parent ChecklistPlease use the checklist below and check-off notes, problem solving and activities that are completed in this packet and then sign underneath the checklist.

Notes:

☐ Adding and Subtracting Like Fractions

☐ Adding and Subtracting Unlike Fractions

☐ Multiplying Fractions

☐ Dividing Fractions

Problem Solving Worksheet:

☐ Bake a Batch of Fractions

_______________________________________Parent Signature

Due Date: ____________The packet is due on the day of the test.

Each day the packet is late – 5 points is deducted from the score.

1

Adding and Subtracting Like Fractions

Essential Question: How do you add and subtract fractions with common denominators?

This chart lists the ingredients for cupcakes. The amounts that are needed to make a dozen cupcakes are provided in the table. For 24 cupcakes, however, you will need to adjust the recipe. Fill in the amounts of each ingredient that will be needed to make 24 cupcakes.

Ingredients 12 cupcakes

24 cupcakes

Amount used in Video to make 24 Cupcakes

white flour 2 cups

sugar 1 ½ cups

baking powder 2 ½ tsp.

salt 1 tsp.

butter or margarine 1/3 cup

milk 2/3 cup

vanilla 1 tsp.

semi-sweet chocolate 2/3 bar

After watching the video, discuss two different ways to double the recipe.

Teacher Notes:2

Practice:

1) 2) 3)

4) 5) 6)

Word Problem Practice: Alex is training for his school's Jog-A-Thon and needs to run

at least 1 mile per day. If Alex runs to his grandma's house, which is of a mile

away, and then to his friend Justin's house, which is of a mile away, will he have trained enough for the day?

Essential Question Answer:

3

Adding and Subtracting Fractions Homework

1) 2) 3)

4) 5) 6)

7) 8) 9)

10) Carolyn's milkshake recipe calls for of a scoop of ice cream and Tatum's recipe calls for of a scoop. How many more scoops of ice cream are used in Carolyn's recipe than in Tatum's recipe?

11) Layla added of a cup of walnuts to a batch of trail mix. Later, she added of a cup of almonds. How many cups of nuts did Layla put in the trail mix in all?

4

Adding and Subtracting Unlike Fractions

Essential Question: How do you add and subtract fractions with different denominators?

1. Write the fractions, convert them into equivalent fractions, and then add them. Color the missing parts.

To add unlike fractions, first convert them to fractions with ______________ denominators. Then add.

5

Teacher Notes:

Practice Problems:

1) 2) 3)

23+ 14

4) 5) 6)1 16−23

6

Essential Question Answer:

Adding and Subtracting Unlike Fractions Homework

1) 2)

45+ 23 3)

4) 5) 6)

7)5 45+1 23

8) 9) 3 14−1 1

2

10) Alex was planting a garden. He planted of the garden with potatoes and of the garden with lettuce. What fraction of the garden is planted with potatoes or

7

lettuce?

Multiplying Fractions

Essential Question: What steps do you need to take in order to multiply fractions correctly?

♫ "Multiplying fractions: no big problem,Top times top over bottom times bottom." ♫

Teacher Notes:

Practice:

1)45∙ 1518 2) 3)

37∙2 13

4) 5)4 12∙2 29 6)

8

Essential Question Answer:

9

Multiplying Fractions Homework

1)67∙ 1415 2) 3)

4 13∙2 14

4) 5) 6)

7) A recipe needs tablespoon salt. How much salt do 8 such recipes need?

8) Peter's truck gets him miles per gallon. Suppose Peter's tank is empty and he puts gallons, how far can Peter go with the truck?

10

Dividing Fractions

Essential Question: What steps do you need to take in order to divide fractions correctly?

♫ "Dividing fractions, as easy as pie,Flip the second fraction, then multiply." ♫

Teacher Notes:

Practice:

1) 2)

45÷ 815 3)

4) 5) 6)

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Essential Question Answer:

Dividing Fractions Homework

1) 2)3 14÷1 113 3)

4) 5) 6)

7) How many lb. hamburger patties can be made from a lb. package and a lb. package of ground meat?

12

Bake a Batch of Fractions!Solve each problem to reveal the cookie recipe. Show all of your work!

1) Ethan drank cups of milk at breakfast, cups at lunch and cups at dinner. How many cups of milk did he drink? _______________

2) John lives 118 mile from the Museum of Science. Sylvia lives

38 mile from the Museum of Science.

How much closer is Sylvia from the museum? _______________________

3) Last week, Charlie's Fruit Stand sold of a box of pears. Down the road, Ariana's Fruit Stand sold

as many boxes of pears as Charlie's did. How many boxes of pears did Ariana's Fruit Stand sell?_____________________

4) A factory uses of a barrel of raisins in each batch of granola bars. Yesterday, the factory used

of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

________________

Cookie RecipeQuestion # Ingredient Amount

1 Flour Cups

2 Salt Tsp.

4 Chocolate Chips cups

2 Butter Cups

13

3 Brown Sugar Cups

2 Vanilla Tsp.

4 Eggs Eggs

2 Baking Soda Tsp

3 Sugar Cups

Study Guide: Compute Fluently Fractions

Show all your work for full credit.

1) 2)

3) 4)

5) 6)

7) 8)

Answer Column

1) ____________________

2) ____________________

3) ____________________

4) ____________________

5) ____________________

6) ____________________

7) ____________________

8) ____________________

9) ____________________

10) ___________________

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9) 10)

11) A recipe needs teaspoon black pepper and red pepper. How much more black pepper does the recipe need?

Strategy: ____________________________ Answer: _____________________________

Work:

12) If a tortoise were timed traveling an average of miles per hour, how long would it take the tortoise to travel 6 miles?

Strategy: ____________________________ Answer: _____________________________

Work:

☐ Did you highlight the question and box the important information?

☐ Did you identify the strategy you used to solve this problem?

☐ Are all your steps written out?

☐ Are the calculations accurate and answer labeled?

☐ Did you write a sentence explaining how you know your solution is correct?

TOTAL: __________/5

Explanation:

15

☐ Did you highlight the question and box the important information?

☐ Did you identify the strategy you used to solve this problem?

☐ Are all your steps written out?

☐ Are the calculations accurate and answer labeled?

☐ Did you write a sentence explaining how you know your solution is correct?

TOTAL: __________/5

Explanation:

16