Name
Lesson 15.8
Problem Solving Workshop Skill: Choose
the Operation
Problem Solving Skill Practice
Tell which operation you would use to solve the problem. Then solve.
1. Jacinda works 2_5 of the days each month
_1
3
at the reference desk and of the days in
the children’s room at the library. How
often does Jacinda work at both places?
3. Padma cooks at the soup kitchen 3_5 of the
days each month and at the hospital 1_4
of the days each month. What fraction of
the days each month does Padma cook
at both places?
2. Harrison has blue, red, green, and tiger
eye marbles. Of the 15 marbles, 2_5 are
tiger eye marbles. How many of
Harrison’s marbles are tiger eye marbles?
4. Joaquin has 150 coins in his collection.
He has pennies, nickels, dimes, quarters,
and dollars. Of all the coins, 1_3 are
quarters. How many of Joaquin’s coins
are quarters?
Mixed Applications Practice
USE DATA For 5–6, use the table.
Softball Tournament Results
5. Garrett plays for the Buffalos, and Lucy
2
_
3
plays for the Bulldogs. They played of
their teams’ winning games. How many
more winning games did Lucy play than
Garrett?
6. The Bulldogs won the league title after
winning 90% of their games. How many
more games did the Bulldogs win than
the Lions?
Team
Wins
Losses
Bulldogs
9
1
Eagles
7
3
Buffalos
6
4
Lions
4
6
7. Ashley takes 1_2 of the days each month
PW100
for ballet lessons and 1_6 for tap dance
lessons. What fraction of the days each
month does Ashley take dance lessons?
Practice
© Harcourt • Grade 5
Name
Name
Lesson 15.7
Lesson 15.8
Problem Solving Workshop Skill: Choose
the Operation
Divide Fractions
Write a division sentence for each model.
1.
2.
Problem Solving Skill Practice
Tell which operation you would use to solve the problem. Then solve.
_1 ⴜ 3_
2
8
1. Jacinda works 2_5 of the days each month
8
__
_
ⴜ2
at the reference desk and 1_3 of the days in
the children’s room at the library. How
often does Jacinda work at both places?
5
10
11
addition; __
of the days
15
each month
Divide. Write the answer in simplest form.
5
3
3. __ ___
8 12
5 1
4. __ __
7 3
9
__
2
6
5. __ __
5
9
_
21
_
12
7
10
1
5
8. 3__ __
9
2
19
1 __
10
1 __
3
1
1
9. 2__ 1__
4
5
3
6 __
7
__
6. ___
3
8
10
3
5
10. ___
__
7
12
4
3
11. __ __
9
8
35
__
36
25
13
15
5
1 __
1
2
7. 2__ __
5
4
5_
5
8
3. Padma cooks at the soup kitchen _35 of the
days each month and at the hospital 1_4
of the days each month. What fraction of
the days each month does Padma cook
at both places?
2
1
12. 1__ __
3
5
17
of the days
addition; __
20
each month
_
81
27
3
2. Harrison has blue, red, green, and tiger
eye marbles. Of the 15 marbles, 2_5 are
tiger eye marbles. How many of
Harrison’s marbles are tiger eye marbles?
multiplication; 6 marbles
are tiger eye marbles
4. Joaquin has 150 coins in his collection.
He has pennies, nickels, dimes, quarters,
and dollars. Of all the coins, 1_3 are
quarters. How many of Joaquin’s coins
are quarters?
multiplication; 50 coins
are quarters
Mixed Applications Practice
Problem Solving and Test Prep
USE DATA For 5–6, use the table.
14. Cory has 10 1_2 feet of paper to make
13. Bruce has 8 1_2 feet of lumber to make
part of the set for a school play. Each
set part needs to be 1_4 feet tall. How
many set parts can Bruce build?
banners. Each banner is 3_4 of a foot long.
How many banners can Cory make?
34 parts
14 banners
1 -cups of brown sugar.
15. A baker has 7 __
3
It takes 3_ -cup of brown sugar to make
16. Lila can walk
4
a loaf of banana bread. How many
loaves of banana bread can the baker
make?
5 1_2 loaves of banana bread
2 _34
_4
5
miles in of an hour.
How fast can she walk in miles per hour?
plays for the Bulldogs. They played 2_3 of
their teams’ winning games. How many
more winning games did Lucy play than
Garrett?
2 more
Team
Wins
Losses
Bulldogs
9
1
Eagles
7
3
Buffalos
6
4
Lions
4
6
A
6. The Bulldogs won the league title after
1
A 2 __ miles per hour
5
1
B 3 __ miles per hour
3
C 2 miles per hour
winning 90% of their games. How many
more games did the Bulldogs win than
the Lions?
3
D 1 __ miles per hour
4
7. Ashley takes 1_2 of the days each month
for ballet lessons and 1_6 for tap dance
lessons. What fraction of the days each
month does Ashley take dance lessons?
addition; 2_3 of the days
each month
Circled problems are suggested homework problems.
5 more
Circled problems are suggested homework problems.
PW99
Softball Tournament Results
5. Garrett plays for the Buffalos, and Lucy
Practice
PW100
Practice
© Harcourt • Grade 5
© Harcourt • Grade 5
Lesson 15.7
Item
Lesson 15.8
Suggested rationale
Item
Suggested rationale
1
write a number sentence based on
a model to divide fractions
1
choose an operation to solve a
fraction word problem
2
write a number sentence based on
a model to divide fractions
2
choose an operation to solve a
fraction word problem
3
divide fractions using a reciprocal
3
choose an operation to solve a
fraction word problem
4
divide fractions using a reciprocal
4
choose an operation to solve a
fraction word problem
7
divide a mixed number by a fraction
using a reciprocal
5
choose an operation to solve a
fraction word problem
8
divide a mixed number by a fraction
using a reciprocal
6
solve a multistep word problem
involving fractions
13
divide by a fraction to solve a word
problem
7
solve a word problem involving
percents
14
divide by a fraction to solve a word
problem in test prep format
15
divide by a fraction to solve a word
problem in test prep format
PW99-PW100
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatB.indd PW100
7/2/07 2:43:51 PM