Home›Lesson Plans›Mathematics›Fractions · Grade 5

Dividing Fractions: Sharing & Grouping

Fifth graders learn to divide with unit fractions — splitting a fraction into equal parts, and finding how many small fractions fit into a whole — through real sharing and grouping problems.

Grade 5Fractions50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Assign or share this lesson

Copy link works with Canvas, Schoology, Moodle and any other LMS — paste it in as a resource or assignment.

Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Divide a fraction by a whole number.
  • ✓Divide a whole number by a unit fraction.
  • ✓Model with pictures.
  • ✓Solve real problems.
Essential Question

Share half a pizza among 3 friends — how much does each get? And how many 1/4-cups are in 2 cups? Dividing with fractions answers both!

0
Lesson Phases
0
Vocabulary Terms
0
Standards Aligned
0
Interactive Task
Model · Interactive Tool

Divide the Fractions

Project each problem and have students divide. The tool shows how dividing means sharing equally or finding how many fit.

÷ Divide with fractionsTry it
Solve each fraction division problem.
The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — Share the Pizza

5 min

Half a pizza shared by 3 — how much each? How many 1/4-cups in 2 cups?

👩‍🏫 Teacher Moves

  • Pose a sharing problem.
  • Pose a grouping problem.
  • Set the goal: dividing fractions.

🎒 Student Actions

  • Consider sharing.
  • Consider grouping.
  • Predict the idea.
2

I Do — Sharing & Grouping

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Divide a fraction by a whole (share).
  • Divide a whole by a fraction (group).
  • Draw the picture.

🎒 Student Actions

  • Learn sharing.
  • Learn grouping.
  • Draw it.
3

We Do — Divide Together

13 min

Class uses Divide the Fractions.

👩‍🏫 Teacher Moves

  • Solve each problem.
  • Draw a model.
  • Explain the answer.

🎒 Student Actions

  • Solve each.
  • Draw it.
  • Explain it.
4

You Do — On Your Own

12 min

Students divide.

👩‍🏫 Teacher Moves

  • Divide fractions by wholes.
  • Divide wholes by unit fractions.
  • Solve word problems.

🎒 Student Actions

  • Divide them.
  • Solve wholes.
  • Solve problems.
5

Close — Close

5 min

One division.

👩‍🏫 Teacher Moves

  • Give a fraction division.
  • Solve it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Solve it.
  • Draw it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
5.NF.7

Divide unit fractions by whole numbers and whole numbers by unit fractions.

CCSS
5.NF.7a

Interpret division of a unit fraction by a whole number.

CCSS
5.NF.7b

Interpret division of a whole number by a unit fraction.

SMP
MP.4

Model fraction division with drawings and situations.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Use fraction-bar models.
  • Sentence frame: “Sharing ___ among ___ gives ___.”
  • Draw the sharing.

Support & Access

IEP / 504
  • Start with sharing (fraction ÷ whole).
  • Use fraction strips.
  • Draw each problem.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Divide with non-unit fractions.
  • Write a division word problem.
  • Connect to multiplying by the reciprocal.
Materials

What to gather

  • 📽️Projector / board
  • 📏Fraction strips
  • 💻Divide the Fractions
  • 📐Grid paper
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

divideto split into equal groupsfractiona number for equal partsunit fractiona fraction with 1 on topwhole numbera counting numberquotientthe answer to divisionshareto split equallygrouphow many fitreciprocala flipped fraction
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
What is 1/4 ÷ 2?
1/8 (splitting one-fourth into two equal parts).
QUESTION 2
How many 1/3-cups are in 2 cups?
6 (2 ÷ 1/3 = 6).
QUESTION 3
When you divide a whole number by a small unit fraction, is the answer bigger or smaller than the whole number?
Bigger (many small pieces fit inside).

Going deeper? Reciprocals.

Have students discover that dividing by a fraction is the same as multiplying by its reciprocal (flip). A printable fraction-division sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Dividing FractionsFlip
Card 1
Term
Tap to flip →
Meaning
0

Nice work!

Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Dividing FractionsQuiz
Score: 0
1 / 6
Question 1
0%

Nice work!

Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Dividing FractionsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: divide, fraction, group, quotient, reciprocal, share, unit fraction, whole number
  1. the answer to division
  2. how many fit
  3. a counting number
  4. a flipped fraction
  5. a number for equal parts
  6. to split into equal groups
  7. a fraction with 1 on top
  8. to split equally

Part B · Show what you learned

  1. What is 1/4 ÷ 2?
  2. How many 1/3-cups are in 2 cups?
  3. When you divide a whole number by a small unit fraction, is the answer bigger or smaller than the whole number?
Answer key — Part A: 1) quotient · 2) group · 3) whole number · 4) reciprocal · 5) fraction · 6) divide · 7) unit fraction · 8) share
Part B: 1) 1/8 (splitting one-fourth into two equal parts). 2) 6 (2 ÷ 1/3 = 6). 3) Bigger (many small pieces fit inside).