This document provides several word problems involving fractions for students to solve. It begins with examples of fraction multiplication and division word problems, including finding what fraction of a cake or bottle of soda was consumed. It then provides division word problems involving partitioning quantities, such as how many bows can be made from a length of ribbon. The document concludes with an example of developing an algorithm for adding fractions.

1. Newspaper Assignment
Devlin Article
Math 483

3. In the town of Mathville
4
5
of the male adults are married.
3
4
of the female adults are married.
What fraction of the town’s adults are married?
Solve this.
What concepts/skills are involved?
What are other ways to solve it?
How might a middle school student solve it?
How might a high school student solve it?
Create variations to make it more interesting/challenging
Generalize?
𝑛
𝑚
and
𝑝
𝑞

5. Mathematical Practices:
How is 7 different than 8?

6. A person buys 3 slices of turkey. Together
they weigh
1
3
of a pound. His diet only allows
him to eat
1
4
of a pound. How much of the
three slices can he eat and stay on his diet?
Solve
Solve multiple ways
MS? HS solve it?

7. Fraction work example:
Bits and Pieces II,
connected math 2

8. Someone ate
1
10
of the cake, leaving only
9
10
. If you eat
2
3
of the cake that is left, how
much of the whole cake will you have eaten?
Zack had
2
3
of the lawn left to cut. After lunch, he cut
3
4
of the grass he had left. How
much of the whole lawn did Zack cut after lunch?
My son drank
1
5
of the bottle of soda. My daughter then drank
2
3
of what was left. How
much of the whole bottle did my daughter drink?
Solve, model multiple ways.

9. 3
5
×
3
4
3
2
3
× 2
1
4
Model each operation.
Create a situation for each multiplication.

10. 2
1
2
÷
1
4
Solve with a model
Create a word problem for it

11. Division as partition
How much is one?
Joe has 5
1
4
yards of ribbon to make three bows for a package. How much ribbon
should be used for each bow if he wants to use the same length of ribbon for
each
Cassie has 1
1
4
hours to work on her three projects. If she divides her time evenly,
how many hours can she give to each?
Ariel found out that she walks really fast during her morning exercise, she can
cover 2
1
2
miles in
3
4
of an hour. She wonders how fast she is walking in miles per
hour.

13. Division as Measurement
How many are in it?
Birthday party! There are 6 pints of Ben and Jerry’s. Each serving will
be
3
4
of a pint. How many guests can be served?
John has 4
2
3
yards of material. Each pattern he makes uses 1
1
6
yards of material.
How many patterns will he be able to make?
Cynthia is building a patio. Each section requires
2
3
of a cubic yard of concrete.
The truck holds 2
1
4
cubic yards of concrete. If there is not enough for a full
section at the end, Cynthia can put in a divider and make a partial section.
How many sections can she make from one truckload.

14. Develop Algorithms

15. 1
2
+
1
3
1
2
1
3
add…
so,
1
2
+
1
3
=
2
5

16. Assignments
• Read “Developing Understanding
Through Problem Solving” article
• Read and Reflect on the 2 articles sent
through e-mail (directions on how to
reflect included)
• Read 6.4 (pp224-230) in The Math that
every… Consider 1,2 on pg. 230 (for
discussion)