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Divide Fractions by Fractions (Grade 6)




 

Videos and lessons to help Grade 6 students learn to 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.

For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
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Common Core: 6.NS.1

Suggested Learning Targets

  • I can compute quotients of fractions divided by fractions (including mixed numbers).
  • I can interpret quotients of fractions.
  • I can figure out how to solve division problems with fractions in a real-world situation.
  • I can solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

Related Topics:
Common Core for Grade 6

Component Skills from Previous Grades
Fractions Grade 3
Develop understanding of fractions as numbers.
Fractions Grade 4
Extend understanding of fraction equivalence and ordering.
Build fractions from unit fractions.
Understand decimal notation for fractions, and compare decimal fractions.
Fractions Grade 5
Use equivalent fractions as a strategy to add and subtract fractions. Apply and extend previous understandings of multiplication and division.

Interpret and compute quotients of fractions: Lesson 1 of 10

(Common Core Standard 6.NS.1)
In this lesson you will learn to divide a whole number by a unit fraction by thinking about equal groups.



Interpret and compute quotients of fractions: Lesson 2 of 10

In this lesson you will learn to divide a whole number by a non-unit fraction by thinking about equal groups.

Interpret and compute quotients of fractions: Lesson 3 of 10

In this lesson you will learn to divide a fraction by a whole number by thinking about equal groups.


 

Interpret and compute quotients of fractions: Lesson 4 of 10

In this lesson you will learn to divide a fraction by a fraction by thinking about equal sized groups.

Interpret and compute quotients of fractions: Lesson 5 of 10

In this lesson you will learn to divide a fraction by a fraction, and represent any left over pieces (remainders), by thinking about equal groups.


Interpret and compute quotients of fractions: Lesson 6 of 10

In this lesson you will learn how to divide mixed numbers and fractions by thinking about equal groups.

Interpret and compute quotients of fractions: Lesson 7 of 10

In this lesson you will learn how to check your answers when dividing fractions by thinking about the inverse relationship between multiplication and division.


 

Interpret and compute quotients of fractions: Lesson 8 of 10

In this lesson you will learn about reciprocals by thinking about the inverse relationship between multiplication and division.

Interpret and compute quotients of fractions: Lesson 9 of 10

In this lesson you will learn that dividing by a number gives the same result as multiplying by its reciprocal by thinking about equivalence.


Interpret and compute quotients of fractions: Lesson 10 of 10

In this lesson you will learn how to solve fraction division problems by using reciprocals along with the inverse operation, multiplication.

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 widget 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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