Apply and extend previous understandings of multiplication and division to divide fractions by fractions. 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?
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This task serves several purposes that, taken together, strengthen and develop the students’ ability to perform a variety of increasingly complex arithmetic operations involving fractions. This tas...
This task could be used in instructional activities designed to build understandings of fraction division. With teacher guidance, it could be used to develop knowledge of the common denominator app...
A fraction division task that use similar contexts to highlight the difference between the “Number of Groups Unknown” a.k.a. “How many groups?” when the quotient is a fraction (or mixed number) gre...
Two fraction division tasks that use the same context and ask “How much in one group?” but require students to divide the fractions in the opposite order. Students struggle to understand which orde...
The purpose of this task is to help students extend their understanding of division of whole numbers to division of fractions, and given the simple numbers used, it is most appropriate for students...
A fraction division task that use similar contexts to highlight the difference between the “Number of Groups Unknown” a.k.a. “How many groups?” when the quotient is a fraction (or mixed number) gre...
Another fraction division word problem that can be solved as simple fraction division, after optionally representing as visual problem.
Another fraction division word problem that can be solved either using visuals or simple fraction division.
A task requiring students to visualize division of fraction problems relating to time where the quantities are continues. An alternative way this task can be done is using linker cubes.
This instructional task requires that the students model each problem with some type of fractions manipulatives or drawings. This could be pattern blocks, student or teacher-made fraction strips, o...
The purpose of this task is for students to solve a problem in context that can be solved in different ways, but in particular by dividing a whole number by a unit fraction.
A set of 0 questions to enhance student understanding on the topic and make them assessment ready.
A set of 9+ questions created by Khan Academy's Sharon F..
Suggestion Question: How many lemon wedges do you need for the same lemony taste?
<p>Time to treat the kids to ratios, proportions, fractions and BIG BURGERS! In this activity students explore the ratio of the various ingredients in the world’s largest burger (pictured above & i...