 # Fraction as Division - Tape Diagrams

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Common Core For Grade 5

Videos, examples, and solutions to help Grade 5 students learn how to solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

Common Core Standards: 5.NF.4a

### New York State Common Core Math Module 4, Grade 5, Lesson 4

Lesson 4 Application Problem

Four grade-levels need equal time for indoor recess, and the gym is available for three hours.
a. How many hours of recess will each grade level receive? Draw a picture to support your answer.
b. How many minutes?
c. If the gym could accommodate two grade-levels at once, how many hours of recess would each grade-level get?

Lesson 4 Concept Development

Problem 1
Eight tons of gravel is equally divided between 4 dump trucks. How much gravel is in one dump truck?

Problem 2
Five tons of gravel is equally divided between 4 dump trucks. How much gravel is in one dump truck?

Problem 3
A 3 meter ribbon is cut into 4 equal pieces to make flowers. What is the length of each piece?

Problem 4
14 gallons of water is used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold? Lesson 4 Problem Set

1. Draw a tape diagram to solve. Express your answer as a fraction. Show the multiplication sentence to check your answer.
b. 2 ÷ 3
b. 7 ÷ 5
b. 14 ÷ 5
2. Fill in the chart. b & c<

Lesson 4 Problem Set

3. Greg spent \$4 on 5 packs of sport cards.
a. How much did Greg spend on each pack?
b. If Greg spent half as much money, and bought twice as many packs of cards, how much did he spend on each pack? Explain your thinking.

4. Five pounds of birdseed is used to fill 4 identical bird feeders.
a. What fraction of the birdseed will be needed to fill each feeder?
b. How many pounds of birdseed are used to fill each feeder? Draw a tape diagram to show your thinking.
c. How many ounces of birdseed are used to fill three birdfeeders? Lesson 4 Homework

1. Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer.
4 ÷ 5
7 ÷ 4 This video shows how to create a tape diagram from a division problem. The problem is also solved and checked using algorithms.

1. Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer.
b) 4 ÷ 5 1. Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer.

b) 4 ÷ 5
c) 8 ÷ 5

2. Fill in the chart.

3. Jackie cut a 2-yard spool into 5 equal lengths of ribbon.
a. How long is each piece of ribbon? Draw a tape diagram to show your thinking.
b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking. d. 14 ÷ 3 4. Baa Baa the black sheep had 7 pounds of wool. If he separated the wool into 3 bags, each holding the same amount of wool, how much wool would be in 2 bags?

5. An adult sweater is made from 2 pounds of wool. This is 3 times as much wool as it takes to make a baby sweater. How much wool does it take to make a baby sweater? Use a tape diagram to solve.

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