Fair Share Division Worksheet
Fair Share Division
Fractions as Quotients • Standard 5.NF.B.3
Name:
Date:
Key Concept: The fraction \(\frac{a}{b}\) represents the division \(a \div b\). When \(a\) items are shared equally among \(b\) groups, each group gets \(\frac{a}{b}\) of an item. Example: 3 waffles shared by 4 friends = \(3 \div 4 = \frac{3}{4}\) waffle each.
A
Connecting Division & Fractions
Write each division expression as a fraction or mixed number in simplest form, or write the fraction as a division problem.
- \(5 \div 8\)
=
- \(9 \div 4\)
=
- \(12 \div 5\)
=
- \(\frac{7}{10}\)
=
- \(16 \div 6\)
=
- \(3 \div 7\)
=
B
Visual Sharing Models
- Three mini pizzas are shared equally among \(4\) friends.
Model & Solve
Pizza 1
Pizza 2
Pizza 3
Partition each pizza into fourths to show each friend's share.
Division expression:
How much pizza does each friend get?
- Four granola bars are divided equally among \(3\) hikers.
Model & Solve
Bar 1
Bar 2
Bar 3
Bar 4
Divide each bar into thirds or distribute whole bars first.
Division expression:
Fraction & mixed number answer:
Grade 5 Mathematics • Fraction Concepts Continue on Page 2 →
Fair Share Division
Page 2 • Application & Reasoning
Name:
C
Real-World Equal Sharing Scenarios
Write a division sentence, show your thinking, and write your final answer with correct units.
- Coach Ramirez has a \(14\)-foot jump rope. He cuts it into \(4\) equal shorter ropes for an obstacle course. How many feet long is each smaller jump rope?
Show your work / model:
Division sentence:
Final answer (as mixed number):
- At the school garden, \(6\) student volunteers share \(5\) pounds of wildflower seeds equally to scatter across their plots. How many pounds of seeds does each student get?
Show your work / model:
Division sentence:
Final answer (fraction):
D
Error Analysis: Math Detective
- Maya says: "When \(8\) apples are shared equally among \(5\) lunchboxes, each lunchbox gets \(\frac{5}{8}\) of an apple."
Is Maya correct?
Yes
No
Correct share:
Explain Maya's mistake and how she should think about it:
E
Challenge & Placement
- A chef pours \(11\) liters of broth equally into \(3\) large soup pots.
Between which two consecutive whole numbers does the amount of broth in each pot lie?
Between
and
Exact amount in each pot (as a mixed number):
Part A: __ / 6 Part B: __ / 2 Part C: __ / 2 Part D: __ / 1 Part E: __ / 1
Total Score: / 12
