Fifth Grade
Math Prep: Session 4
Note to Teachers:
This lesson will focus on fractions and problem solving with fractions.
Students must multiply and divide fractions/mixed numbers. Students should be
encouraged to use a number line or visual models to explain their work.
The session should be split up as such:
 Part 1- 20 minutes straight computation
 Part 2- 40 minutes of problem solving
Grade 5 Lesson 4: Multiplying and Dividing Fractions
Part 1: Computation
Multiply or divide.
1.
4.
8.
2.
1
÷ 2=
3
5.
1
÷4=
2
9.
3.
6. 9 ÷
1
4
7. 25 ÷
10.
1
5
Part II: Problem Solving
1. Half of Madison Square Garden is needed to seat 4 equal sized schools.
Part A: Make a visual fraction model to represent Madison Square Garden when each school is
seated in separate sections.
Part B: Write an expression to determine what fractional part of Madison Square Garden one
school will need?
___________________________________________________________________________
Part C: What fraction of Madison Square Garden will one school need?
2. Ten team members are sharing 3 boxes of cookies.
Part A: How much of a box will each student get?
Part B: If each box contains 20 cookies, how many cookies will each team member get?
3. Two afterschool clubs are having pizza parties. For the Math Club, the teacher will order 3
pizzas for every 5 students. For the Student Council, the teacher will order 5 pizzas for every 8
students. Since you are in both groups, you need to decide which party to attend.
Part A: How much pizza would you get at each party?
Math Club_______________
Student Council _________________
Part B: If you want to have the most pizza, which party should you attend? ________________
4. The six fifth grade classrooms have a total of 27 boxes of pencils. How many boxes will each
classroom have to use? Express your answer in lowest terms.
5. Isabelle had 6 feet of wrapping paper. She used 3 of the paper to wrap some presents. How
5
much does she have left? Express your answer in lowest terms.
3
6. Every day Tim ran 4 of mile. How far did he run after 6 days? Express your answer in
lowest terms.
2
of the roses were red. How many red roses were
3
there? Express your answer in lowest terms.
7. Evan bought 6 roses for his mother.
1
1
8. Mary determined that the dimensions of the school flag are 1 feet by 2 feet. What is the
3
4
area of the school flag? Express your answer in lowest terms.
9. Angelo has 4 lbs. of peanuts. He wants to give each of his friends
can receive
1
lb. How many friends
5
1
lb. of peanuts? Express your answer in lowest terms.
5
10. How much rice will each person get if 3 people share
1
lb. of rice equally? Express your
2
answer in lowest terms.
11. Diana and her brother made
1
of a gallon of lemonade to sell at their lemonade stand. They
5
divided the lemonade equally between 2 paper cups. How much lemonade was in each paper
cup? Express your answer in lowest terms.
1
of a bottle of medicine equally between 2 sick cats. How much did
2
she give each sick cat? Express your answer in lowest terms.
12. A veterinarian divided
13. Write an expression to describe the model below.
Expression ___________________________
14. Will the product of a fraction and a whole number be greater or less than that whole
number? Explain your answer.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
1
15. Hala’s sugar cookie recipe calls for 3 cups of sugar. How much sugar would Hala use to
3
make 3 batches of cookies?
Part A: Write an equation that can be used to find the total amount of sugar Hala would use to
make 3 batches of cookies._____________________________________________________
Part B: Draw a picture to model the problem.
Part C: How many cups of sugar would Hala use to make 3 batches of cookies?______________
16. There are 6 packs of pencils in the teacher’s lounge. Each teacher is allowed to have half a
pack. How many people can have a half pack of pencils?
Part A: Write an equation that can be used to find the number of people who can have half a pack
of pencils._____________________________________________________________________
Part B: Use the number line below to find the solution to your equation.
Answer_______________________________________________________________________
17. A school has ¼ a box of paper. It gives paper out to 3 teachers, how much of the box can
each teacher have?
Part A: Write an equation that can be used to determine how much of the box each teacher can
have._______________________________________________________________________
Part B: Shade the box below to find your solution.
2
18. You are at a bake sale with a ¾ full pan of brownies. A customer want’s to buy 3 of what’s
left in the pan. How much of the pan will be buy?
Part A: Write an equation that can be used to find how much of the pan each teacher can
have._______________________________________________________________________
Part B: Shade the box below to find your solution.
19. Complete the diagram below to show the division expression
1 1
x .
3 2
What is the product? ____________________________
20. Joanie said the product of
1
1
1
1
and
is greater than the product of and
. Is she
4
8
70
70
correct? Explain your answer.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________