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?

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: The Number System
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Apply and extend previous understandings of multiplication and division to divide fractions by fractions. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


Examples of Opportunities for In-Depth Focus

This is a culminating standard for extending multiplication and division to fractions.

Fluency Expectations or Examples of Culminating Standards

Students interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions. This completes the extension of operations to fractions.


  • Item Type(s): This benchmark may be assessed using: MC , EE item(s)

  • Assessment Limits :
    At least the divisor or dividend needs to be a non-unit fraction. Dividing a unit fraction by a whole number or vice versa (e.g., begin mathsize 11px style 1 over a end style ÷ ?? or ?? ÷ begin mathsize 11px style 1 over a end style , where a is a whole number) is below grade level.
  • Calculator :


  • Context :



  • Test Item #: Sample Item 3
  • Question:

    A rectangular plot of land has an area of begin mathsize 12px style 3 over 2 end style square kilometers and a length of begin mathsize 12px style 3 over 4 end style kilometer.

    What is the width of the plot of land?

  • Difficulty: N/A
  • Type: EE: Equation Editor