Name:
Date:
Lesson 3.4 Real-World Problems: Fractions and Decimals
Solve. Show your work.
Example
Mary buys 8.5 pounds of flour at $1.50 per pound. How much does Mary
pay for the flour?
8.5
3$
Mary pays $
1.50
12.75
5$
12.75
8.5 3 1.50 is the same as
8.5 3 1.5.
for the flour.
1. A pint of juice costs $0.80. If Jason wants to buy 3.5 pints of juice, how much will
he have to pay?
3$
Jason will have to pay $
5$
for the juice.
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2. A gallon of gasoline costs $3.45. How much does 6.8 gallons of gasoline cost?
3. The cost of carpeting a square foot is $9.30. How much does it cost to carpet
7.8 square feet?
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Name:
Date:
Solve. Show your work.
Example
Pamela divided 3.2 pounds of dough into pieces that each weighed 0.2 pound.
Into how many pieces did she divide the dough?
3.2 lb
0.2 lb
0.2 lb
0.2 lb
0.2 lb
? pieces
3.2
4
0.2
5
16
Pamela divided the dough into
16
pieces.
4. A piece of paper is 19.5 centimeters long. How many 1.5-centimeter strips of
paper can be cut from the piece of paper?
19.5 cm
1.5 cm
1.5 cm
1.5 cm
1.5 cm
? pieces
4
5
5. A pharmacist pours 30 fluid ounces of medicine into some bottles. Each bottle
now contains 0.5 fluid ounces of the medicine. How many bottles of medicine
does the pharmacist fill?
fl oz
fl oz
fl oz
fl oz
? bottles
70
fl oz
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1.5-centimeter strips of paper can be cut from the piece of paper.
Chapter 3 Lesson 3.4
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Name:
Date:
6. A string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters
long. How many pieces were cut from the 27.2-meters string?
Solve. Show your work.
Example
Henry buys 12 apple pies. He gives 5 apple pies to his family and cuts the rest
into equal slices to give to his friends. If each slice is
1
of a pie, how many
6
slices of apple pie does he give to his friends?
12
2
Henry cuts
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7
He gives
5
5
7
apple pies into slices.
1
6
4
42
7
5
7
5
42
3
6
slices of apple pie to his friends.
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Name: Date: 7. A wooden plank is 19 feet long. Mr. Peterson cuts 3 feet off the end of the
wooden plank. He then cuts the remaining piece of wood into equal pieces,
each
1
foot long. How many pieces does Mr. Peterson cut?
5
2
5
Mr. Peterson cuts
4
feet of wood into equal pieces.
5
3
5
Mr. Peterson cuts
8.
pieces of wood.
Isaac has 10 gallons of paint. He uses 3 gallons of paint to paint a wall. He then
pours the remaining paint into some containers. If each container has
1
gallon of
4
9. Jess buys a roll of string that is 30 meters long. She uses 10 meters of string to
tie a box. She then cuts the remaining string into equal pieces, each
long. Into how many
72
2
meter pieces does Jess cut the string?
3
2
meter
3
© Marshall Cavendish International (Singapore) Private Limited.
paint, into how many containers does Isaac pour the paint?
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Name:
Date:
Solve. Show your work.
Example
Mrs. Andre bakes 15 banana puddings. She gives
2
of the puddings to her
3
neighbors. She cuts the remaining puddings into equal slices to give to some
children. If each slice is
1
of a pudding, how many slices does she give to
5
the children?
15 banana puddings
neighbors
Remainder →
1
2
2
3
3
15
5
1
5
5
1
3
children
5
Mrs. Andre cuts
5
1
3
3
5
banana puddings into equal slices.
© Marshall Cavendish International (Singapore) Private Limited.
5 banana puddings
1
of a pudding
5
5
She gives
1
5
4
25
5
5
3
5
5
25
slices of banana pudding to the children.
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Name: Date: 1
of the juice to make punch.
4
1
She then uses the remaining juice to pour single servings that are cup each.
3
10. Mandy has 36 cups of apple juice. She uses
How many single servings does Mandy pour?
36 cups
punch
single serving
Remainder →
2
3
5
5
Mandy uses
5
3
cups of apple juice to pour single servings.
cups
4
5
3
5
She pours
74
single servings.
© Marshall Cavendish International (Singapore) Private Limited.
1
cup
3
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Name:
Date:
11. Of the 20 boxes of pencils a bookstore had in stock,
2
were sold to an illustrator.
5
The remaining boxes of pencils were sold to a local school. If the school gave
1
of a box of pencils to each student, how many students received pencils?
6
boxes of pencils
boxes of pencils were sold to a local school.
© Marshall Cavendish International (Singapore) Private Limited.
boxes of pencils
of a box
students received the pencils.
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Name:
Date:
Solve. Show your work.
Example
Harry has 7 pizzas. He cuts the pizzas into fifths and distributes the pieces
equally to his friends. Each friend receives
How many friends does Harry distribute the pizzas to?
7
4
4
5
5
5
5
7
35
4
3
84
Harry distributes the pizzas to
b)
3
Harry shares
7
3
5
8
friends.
2
4
5
2
6
5
2
6
5
5
5
32
5
2
6
5
of the pizzas with his friends.
5
3
5
of a pizza is left.
What is the amount of pizza each friend will
get if the remainder is divided equally
among the friends?
7
4
8
Each friend will get
76
3
to 8 since
4
3
there cannot be of a child.
4
Round down 8
What fraction of the pizza is left?
8
c)
3
5
4
5
7
8
7
8
of a pizza.
If the remainder is divided
equally among the friends,
the 7 pizzas will be shared
equally by 8 friends.
© Marshall Cavendish International (Singapore) Private Limited.
a)
4
of a pizza.
5
Chapter 3 Lesson 3.4
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Name: Date: 12. Mr. LeRoy has 4 pineapple pies. He cuts the pies into eighths and gives the
pieces equally to his students. Each student gets
a)
3
of the pie.
8
How many students does Mr. LeRoy give the pies to?
44
3
5
8
3
When you divide 4 by
3
, you
8
get a mixed number. Why is this
5
mixed number not the number of
students Mr. LeRoy gave pies to?
5
Mr. LeRoy gives the pies to
b)
students.
What fraction of the pineapple pie is left?
3
3
5
8
5
Mr. LeRoy gives
2
of the pineapple pies to his students.
5
of a pineapple pie is left.
c)
What is the total amount of pineapple pie each student will receive if the
remainder is divided evenly and distributed to each student?
© Marshall Cavendish International (Singapore) Private Limited.
4
5
5
Each student will get
of a pineapple pie.
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Name:
Date:
13. Terence baked 6 mango puddings. He cut the puddings into sixths and shared
78
5
of a pudding.
6
a)
How many children were there altogether?
b)
What fraction of a pudding was left?
c)
What is the total amount of mango pudding each child will receive if the
remainder is divided evenly and distributed among them?
© Marshall Cavendish International (Singapore) Private Limited.
the pieces equally with some children. Each child received
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Name: 14. A packet of clay weighs
Date: 4
pounds. Troy needs 9 pounds of clay for his model.
5
How many packets of clay must he buy?
15. Candice needs 5 feet of lace for her dress. A roll of lace is
7
foot. How many
10
© Marshall Cavendish International (Singapore) Private Limited.
rolls of lace does she need to buy?
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Name:
Date:
Solve. Show your work.
Example
Shirley used
3
5
of her money to buy a dress. She spent of the remainder on a bag.
5
8
a)
What fraction of her money did she spend on the bag?
b)
If she had $240 at first, how much did the bag cost?
Method 1
dress
a)
The model shows that:
remainder
5
1
or
20
4
Shirley spent
of her money
on the bag.
$240
bag
20
units → $
240
1
unit → $
240
5
units →
The bag cost $
60
12
4
20
5$
12
3$
5
5$
60
.
Method 2
a)
Amount of money left → 1 2
5
8
3
Shirley spent
b)
1
4
3$
The bag cost $
80
2
5
1
4
240
60
5
3
5
5
2
5
1
4
of her money on the bag.
5$
.
60
© Marshall Cavendish International (Singapore) Private Limited.
b)
Chapter 3 Lesson 3.4
3.1
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Name:
Date:
16. Of the red and green apples in a basket,
in the basket,
2
are rotten.
9
4
are red apples. Of the green apples
7
a)
What fraction of the apples in the basket are rotten?
b)
If there are 63 apples altogether, how many green apples are rotten?
Method 1
red apples
a)
green apples
63 apples
rotten
The model shows that:
of the apples in the basket are rotten.
units →
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b)
unit →
4
5
units →
3
5
green apples are rotten.
Method 2
a)
Green apples → 1 2
3
5
5
of the apples in the basket are rotten.
b)
3
5
green apples are rotten.
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Name:
Date:
17. Of the boys and girls at a school assembly,
4
1
are boys. At 9:00 a.m., of the
9
2
girls were dismissed.
a)
What fraction of the children were dismissed from the assembly at
9:00 a.m.?
b)
If there were 54 children altogether, how many girls were dismissed from
the assembly at 9:00 a.m.?
Method 1
a)
b)
a)
b)
82
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Method 2
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3.1
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Name: Date: Solve.
Example
Bernie divides
of land is
a)
7
of her garden into several small plots of land. Each small plot
8
1
of her garden.
16
Into how many small plots of land does Bernie divide her garden?
7
8
4
1
16
5
7
8
5
14
3
14
Bernie divides her garden into
b)
16
small plots of land.
If the total area of the garden is 160 square meters, what is the area of
each small plot of land?
1
16
3
160
5
10
The area of each small plot of land is
18. Logan uses
10
square meters.
1
1
of his money to buy some envelopes. Each envelope costs
6
18
of his money.
a)
How many envelopes does he buy?
© Marshall Cavendish International (Singapore) Private Limited.
4
5
3
5
Logan buys
b)
envelopes.
If Logan has $36 at first, how much does each envelope cost?
3$
Each envelope costs $
5$
.
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Name:
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2
of it into a pitcher and poured the
5
1
remainder of the lemonade into glasses. Each glass contains
of the lemonade
30
19. Joseph made some lemonade. He poured
he made.
a)
Into how many glasses did Joseph pour the lemonade?
2
5
Joseph poured
4
of the lemonade into glasses.
5
3
5
Joseph poured the lemonade into
b)
glasses.
If Joseph made 2 gallons of lemonade, how much lemonade is in each
glass?
3
gallon of lemonade.
© Marshall Cavendish International (Singapore) Private Limited.
Each glass has
5
84
Chapter 3 Lesson 3.4
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