Operations & Models
Evaluate: 1/2÷1/4=
1/2÷1/4=2
If a recipe needs 3/4 cup of sugar and you only have 1/4-cup scoops, how many scoops do you need? (Find 3/4÷1/4).
Answer 3
On a number-line model, how many 1/2 segments fit into 2? (Find 2÷1/2).
answer 4
Fill in: 6/7÷1=?
same fraction 6/7
1/2 ÷ ___ = 2
1/4
Evaluate: 3/5÷3/10
3/5 ÷ 3/10=2
A ribbon 5/6 yard long is cut into pieces each 1/6 yard long. How many pieces? (Find 5/6÷1/6).
answer 5
Using a rectangle model, show and compute 2/3÷1/3. What is the answer?
answer 2
Compute: 9/10÷3/5
9/10÷3/5=9/10×5/3=45/30=3/2
3/4 ÷ 2/3 = ___
9/8
Simplify and explain: 4/7÷2/3
4/7÷2/4=4/7×3/2=12/14=6/7
There are 2/3 of a pound of nuts shared equally among 3 friends. How much does each friend get? (Find 2/3÷3).
answer 2/9 because 2/3÷3=2/3×1/3=2/9
Draw a visual fraction model (or describe it) that shows why 2/3÷3/4=8/9. Then compute the result.
model explanation and answer 8/9 as per standard example
Which is larger: 1/2÷1/8 or 3/4÷1/8? Show reasoning.
second is large
1/5 ÷ 2/25 = ___
5/2
Evaluate using reciprocals: 5/6÷1/3
5/6÷1/3=5/6×3=15/6=5/2
A baker has 7/8 of a tray filled with muffins. Each full tray holds 1/4 of the total batch. How many full trays can the baker make from 7/8 of a tray? (Find 7/8÷1/4).
answer 7/2=3 1/2 full trays
A square garden has area 3/4 square unit and length 3/4 unit. Using a model, find the width by solving 3/4÷3/4.
1 because 3/4÷3/4=1
A student claims 2/5÷1/2=2/10. Is the student correct? Explain and give the correct answer.
student is incorrect — correct method is multiply by reciprocal: 2/5÷1/2=2/5×2=4/5
2/3 ÷ ___ = 6/5
5/9
Write the reciprocal of 7/8 and use it to compute 7/8÷2/5
reciprocal of 7/8 is 8/7, and 7/8÷2/5=7/8×5/2=35/16
A gardener uses 3/5 of a bag of soil for one raised bed. How many beds can she fill with 2 bags? (Find 2÷3/5).
2÷3/5=2×5/3=10/3=3 1/3 beds
Use a tape-diagram or area model to represent and solve: 5/8÷1/4. Explain how the model shows your answer.
5/8÷1/4=5/8×4=20/8=5/2
Two tasks: a) Evaluate 4/9÷2/3. b) Create a short word problem for your classmates that models the expression in part (a); make sure your classmates can solve it using division of fractions.
4/9÷2/3=4/9×3/2=12/18=2/3
2/11 ÷ 4/33 = ___
3/2