CCSS.Math.Content.6.NS.A.1

Math6th GradeApply and extend previous understandings of multiplication and division to divide fractions by fractions.

The standard

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.

Common Core State Standards for Mathematics · The Number System

What this standard means

Students need to make sense of fraction division, not just flip and multiply. They should read a situation, decide whether it asks for “how many groups” or “how much in each group,” write an equation, compute, and explain the answer with a model or words.

Mastery looks like matching diagrams, equations, and story contexts for problems like 2/3 divided by 3/4. Students often mix up the dividend and divisor, forget what the quotient means, or give an answer without checking if it is reasonable. Visual models help catch those mistakes.

Ways to teach it

  • Hands-on: Use fraction strips to show how many 1/4 pieces fit into 3/4, then repeat with 1/2 divided by 1/6.
  • Prompt: Write a real story for 2/3 divided by 1/4, then explain whether the answer means groups or amount per group.
  • Quick assessment: Ask students to solve 3/5 divided by 2/3 and draw a model that proves their answer.
  • Real-world connection: Use a recipe card and ask how many 3/4-cup servings can be made from 2 1/2 cups of batter.

Plan a lesson for CCSS.Math.Content.6.NS.A.1

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Related standards

  • CCSS.Math.Content.5.NF.B.3

    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 i...

  • 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.7c

    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 ...

  • 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.

Standard text verified against corestandards.org on July 10, 2026.

Page updated July 10, 2026.

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