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Divide Whole Numbers by Unit Fractions (Grade 5)

Related Topics:
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5
Divide Unit Fractions by Whole Numbers (5nf7a)
Divide Fraction Word Problems (5nf7c)



 
Videos, examples, solutions, and lessons to help Grade 5 students learn to apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

A. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

B. Interpret division of a whole number by a unit fraction, and compute such quotients.For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

C. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

Common Core: 5.NF.7b

Suggested Learning Targets

  • I can create story contexts for problems involving division of a fraction.
  • I can solve problems involving division of fractions.
  • I can explain or illustrate my solution using fraction models or equations.
Interpret and compute division of whole numbers by unit fractions (Standard 5.NF.7b)

Dividing Whole Numbers by Unit Fractions: 5.NF.7b
Examples:
Kara is putting sugar in a container. The container holds five cups of sugar. The scoop she is using to transfer the sugar holds 1/3 of a cup. How many scoops will she need to fill the container?



5.NF.7b dividing whole number by fraction
Example:
Madison has 4 storage boxes. Each storage box has partitions that each take up 1/3 of the box. How many total partitions are there in the storage boxes? 5 NF 7B Grade 6
Example:
There are four shipments of gas cans to auto supply stores. If each store received 1/10 shipment, how many stores in all?

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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