➕ 6th Grade Math · Unit 4

Dividing Fractions

13 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.NS.A.1 6.G.A.2

Picture from the lesson “How Many Groups?”
How Many Groups?
Picture from the lesson “How Much in Each Group?”
How Much in Each Group?
Picture from the lesson “Fraction Division with Diagrams”
Fraction Division with Diagrams

What your child will learn

The meaning of fraction division

  1. How Many Groups?Divide by a fraction by asking how many groups of that fraction fit, like how many one thirds are in two.
  2. How Much in Each Group?Divide by a fraction by asking how much is in one whole group, like two thirds of a bag weighing four pounds.
  3. Fraction Division with DiagramsUse tape diagrams to solve a fraction division like three fourths divided by one eighth.
  4. The Meaning of Fraction Division: Review ReviewReview what dividing by a fraction means.

Dividing fractions

  1. Dividing by Flipping: The ReciprocalDivide a fraction by a fraction by multiplying by the reciprocal of the divisor, and explain why it works.
  2. Dividing Mixed NumbersDivide mixed numbers by first rewriting them as fractions.
  3. Fraction Division Word ProblemsSolve word problems that divide fractions, like how many three fourths cup servings are in two thirds of a cup.
  4. Dividing Fractions Review ReviewReview dividing fractions and mixed numbers.

Volume with fraction edges

  1. Packing with Fraction CubesFind the volume of a prism by packing it with cubes whose edges are unit fractions, like one half unit cubes.
  2. The Volume Formula with FractionsFind the volume of a rectangular prism with fraction edge lengths by multiplying length, width and height.
  3. Fraction Volume ProblemsSolve real-world problems about the volume of prisms with fraction edge lengths.
  4. Volume with Fraction Edges: Review ReviewReview finding volume with fraction edge lengths.
  5. Unit 4 Test: Dividing FractionsShow what you learned in the whole unit (The meaning of fraction division, Dividing fractions, Volume with fraction edges) by answering mixed questions.

Try a question from this unit

From the lesson “How Many Groups?”

How many one fourths are in 3?

  • 12
  • 3/4
  • 7
  • 1/12
Show the answer

12. Each whole holds 4 fourths, so 3 wholes hold 12 fourths, and 3 ÷ 1/4 = 12. The answer 3/4 comes from multiplying instead of asking how many groups fit.

Hint kids see after a wrong try: “Think about how many fourths make one whole. Then think about every whole you have.”

Key words

  • quotient
  • divisor
  • group
  • tape diagram
  • reciprocal
  • mixed number
  • improper fraction
  • word problem
  • unit cube
  • edge
  • volume
  • formula
  • rectangular prism

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

Download on the App Store Get it on Google Play