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Fractions as Division (Grade 5)




 


Videos and lessons to help Grade 5 students learn to 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. 

For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?


Common Core: 5.NF.3

Suggested Learning Targets


  • I can explain that fractions represent division.
  • I can solve word problems that involve division of whole numbers and interpret the quotient in the context of the problem.
  • I can explain or illustrate my solution using visual fraction models or equations.

Related Topics:
Common Core for Grade 5

More Lessons for Grade 5

Interpreting fractions as division and solving word problems involving division (5.NF.3)
In this lesson you will learn to solve division problems by partitioning the whole.


In this lesson you will learn to solve division story problems by representing the answer as an equal share of fractional pieces.





In this lesson you will learn to solve word problems with whole numbers that lead to fractional answers by partitioning the whole.


In this lesson you will learn to solve word problems that divide whole numbers with fractional answers by partitioning the whole.



 

In this lesson you will learn how to divide a whole number by a whole number to produce a fraction by partitioning a whole.


In this lesson you will learn how to solve a division problem by writing a multiplication equation and partitioning the remainder.




In this lesson you will learn how to divide whole numbers by unit fractions by using a number line.


Division Written as a Fraction; Improper Fractions to Mixed Number
5.NF.3 [interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve for answers in mixed numbers]


Fractions as Division
In this video, we use visual models to represent improper fractions and then we use division to change from improper to mixed. We also look at a proper fraction and why if you divide, you still get the proper fraction.



 

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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