Deli Division Worksheet
Grade 5 Math CCSS 5.NF.B.3 & 5.NF.B.7
Deli Division Worksheet
Interpreting & Representing Fraction Division in Sandwich Scenarios
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The Two Meanings of Sandwich Division
1. Fair Sharing (5.NF.3):
Splitting whole sandwiches among people. You find the fractional share each person gets.
\(3 \text{ subs} \div 4 \text{ people} = \frac{3}{4} \text{ sub each}\)
2. Serving Sizes (5.NF.7b):
Cutting sandwiches into fractional portions. You find how many portions you can serve.
\(3 \text{ subs} \div \frac{1}{3} \text{ portion} = 9 \text{ portions}\)
Order #1 • Equal Sharing (5.NF.3) Whole \(\div\) Whole = Fraction Share
The kitchen prepped 3 identical footlong turkey subs to be split equally among 4 prep cooks for lunch.
Model: Partition each sandwich into fourths. Shade one cook's share across all 3 subs.
Sub 1:
Sub 2:
Sub 3:
Division Equation
Each Cook Receives
Explain what the fraction bar means in this context: Why is each cook's share equal to \(3 \div 4 = \frac{3}{4}\) of a sub?
Order #2 • Catering Portions (5.NF.7b) Whole \(\div\) Unit Fraction
Chef Marco has 3 giant baguettes. He cuts all 3 baguettes into catering portions of \(\frac{1}{3}\) of a baguette each.
Model: Divide each baguette into \(\frac{1}{3}\) portions and count total servings.
Baguette 1:
Baguette 2:
Baguette 3:
Division Equation
Total Portions Made
In your own words, why does dividing 3 by \(\frac{1}{3}\) give an answer of 9? What does the number 9 represent?
Grade 5 Math • Interpreting Division Contexts (5.NF.3 & 5.NF.7) Page 1 of 2
Part 2
Unit Fractions & Deli Problem Solving
Mastering CCSS 5.NF.B.7
Order #3 • Splitting Leftovers (5.NF.7a) Unit Fraction \(\div\) Whole Number
At the end of lunch, exactly \(\frac{1}{2}\) of a giant party sub remains. The deli owner shares this leftover portion equally among 3 counter assistants.
Model: The whole sub is shown. Divide the remaining \(\frac{1}{2}\) into 3 equal pieces.
Eaten during lunch (\(\frac{1}{2}\))
Remaining: \(\frac{1}{2}\) sub Split into 3 equal shares
Division Equation
Fraction of Whole Sub Each
Why is each assistant's share \(\frac{1}{6}\) of the whole sub, even though they only divided by 3? Explain.
Order #4 • Spot the Difference (5.NF.7c) Comparing \(2 \div \frac{1}{4}\) vs. \(\frac{1}{4} \div 2\)
Two deli customers place orders with the same numbers (2 and \(\frac{1}{4}\)), but completely different meanings!
Customer A: "Serving Sizes"
"I have 2 whole subs. Cut them into \(\frac{1}{4}\)-sub mini portions."
Equation:
Answer & Units:
Customer B: "Fair Sharing"
"I have \(\frac{1}{4}\) of a sub. Split it equally between 2 children."
Equation:
Answer & Units:
Head Chef's 5th-Grade Reasoning Challenge
A new deli intern says: "Division always makes things smaller! When you divide 4 sandwiches, you must get fewer than 4."
Use Customer A and Customer B above to explain why dividing a whole by a fraction produces a larger number of servings, while dividing a fraction by a whole gives a smaller piece.
Deli Division • Grade 5 Fraction Division (CCSS 5.NF.B.3 & 5.NF.B.7) Page 2 of 2
