CCSS.Math.Content.5.NF.B.7c
The Standard
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.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether a problem asks them to share one unit fraction or count unit-fraction groups within a whole number. They solve using drawings, equations, and context.
What Mastery Looks Like
- Students choose a matching model and equation for each problem. They find the correct quotient and explain what it means using the units from the story.
Common Misconceptions
- Students may treat both division situations the same way. They may say 2 divided by 1/3 is 2/3, or change the wrong part of the fraction.
How to Assess It
- Exit ticket: Draw a model and write an equation for, “How many 1/4-cup servings can be made from 3 cups?” Explain the quotient.
Lesson moves
Ways to Teach It
Use fraction strips to share 1/2, 1/3, and 1/4 equally among two, three, or four paper figures.
Ask students to compare 1/3 divided by 2 and 2 divided by 1/3 using drawings and written explanations.
Play a matching game with story cards, equations, visual models, and quotient cards.
Measure rice into unit-fraction cups to find servings from whole cups, then write an equation for each measurement.
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Printable 5.NF.B.7c Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.NF.B.7c, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.5.NF.B.7b
Interpreting whole numbers divided by unit fractions carries into modeling and solving those word problem cases in 7c.
- CCSS.Math.Content.5.NF.B.7a
Interpreting and computing a unit fraction divided by a whole number carries into solving word problems of that same type.
- CCSS.Math.Content.3.OA.A.2
Equal-sharing and measurement meanings of division carry into modeling whole-number and unit-fraction division word problems.
Keep exploring
Related Standards
- CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and eq...
- CCSS.Math.Content.5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
- CCSS.Math.Content.4.NF.B.4c
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.
- CCSS.Math.Content.5.NF.B.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
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