Decompose Fractions into Sums of Unit Fractions
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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to decompose fractions into sums of smaller unit fractions using tape diagrams.
Common Core Standards: 4.NF.3b, 4.NF.4a, 4.NF.3a
Lesson 4 Concept Development
Problem 1: Use tape diagrams to represent the decomposition of 1/3 as the sum of unit fractions.
Problem 2: Use tape diagrams to represent the decomposition of 1/5 and 2/5 as the sum of smaller unit fractions.
Problem 3: Draw a tape diagram and use addition to show that 2/6 is the sum of 4 twelfths.
Lesson 4 Problem Set 1
1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
a to d
2. The total length of each tape diagram represents 1 whole. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a and b
3. Draw and label tape diagrams to prove the following statements.
a. 2/5 = 4/10
b. 2/6 = 4/12
c. 3/4 = 6/8
d. 3/4 = 9/12
4. Show that 1/2 is equivalent to 4/8 using a tape diagram and a number sentence.
5. Show that 2/3 is equivalent to 6/9 using a tape diagram and a number sentence.
6. Show that 4/6 is equivalent to 8/12 using a tape diagram and a number sentence.
Lesson 4 Homework
1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
a and b
2. The total length of each tape diagram represents 1 whole. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a to c
3. Draw and label tape diagrams to prove the following statements.
a. 2/5 = 4/10
b. 3/6 = 6/12
c. 2/6 = 6/18
d. 3/4 = 12/16
4. Show that 1/2 is equivalent to 6/12 using a tape diagram and a number sentence.
5. Show that 2/3 is equivalent to 8/12 using a tape diagram and a number sentence.
6. Show that 4/5 is equivalent to 12/15 using a tape diagram and a number sentence.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to decompose fractions into sums of smaller unit fractions using tape diagrams.
Common Core Standards: 4.NF.3b, 4.NF.4a, 4.NF.3a
New York State Common Core Grade 4, Module 5, Lesson 3
Download Worksheet for Common Core Grade 4, Module 5, Lesson 3Lesson 4 Concept Development
Problem 1: Use tape diagrams to represent the decomposition of 1/3 as the sum of unit fractions.
Problem 2: Use tape diagrams to represent the decomposition of 1/5 and 2/5 as the sum of smaller unit fractions.
Problem 3: Draw a tape diagram and use addition to show that 2/6 is the sum of 4 twelfths.
Lesson 4 Problem Set 1
1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
a to d
2. The total length of each tape diagram represents 1 whole. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a and b
3. Draw and label tape diagrams to prove the following statements.
a. 2/5 = 4/10
b. 2/6 = 4/12
c. 3/4 = 6/8
d. 3/4 = 9/12
4. Show that 1/2 is equivalent to 4/8 using a tape diagram and a number sentence.
5. Show that 2/3 is equivalent to 6/9 using a tape diagram and a number sentence.
6. Show that 4/6 is equivalent to 8/12 using a tape diagram and a number sentence.
1. The total length of each tape diagram represents 1 whole. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways.
a and b
2. The total length of each tape diagram represents 1 whole. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a to c
3. Draw and label tape diagrams to prove the following statements.
a. 2/5 = 4/10
b. 3/6 = 6/12
c. 2/6 = 6/18
d. 3/4 = 12/16
4. Show that 1/2 is equivalent to 6/12 using a tape diagram and a number sentence.
5. Show that 2/3 is equivalent to 8/12 using a tape diagram and a number sentence.
6. Show that 4/5 is equivalent to 12/15 using a tape diagram and a number sentence.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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