4-6 Multiply Fractions
Multiply. Write in simplest form.
5. 1. SOLUTION: SOLUTION: 2. SOLUTION: 6. SOLUTION: 3. SOLUTION: 7. SOLUTION: 4. SOLUTION: 8. SOLUTION: 5. SOLUTION: eSolutions Manual - Powered by Cognero
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9. SOLUTION: 4-6 Multiply Fractions
feet.
So, the width is
11. One evening,
9. of the students in Rick’s class
watched television. Of those students,
SOLUTION: watched a reality show. Of the students that watched the show,
of them recorded the show. What fraction of the students in Rick’s class watched and recorded a
reality TV show?
SOLUTION: Let s represent the fraction of students in Rick’s
class who watched and recorded a reality TV show.
10. The width of a vegetable garden is
times its length. If the length of the garden is
feet, what is
the width in simplest form?
SOLUTION: Let w represent the width of the garden.
So,
of Rick’s class watched and recorded a
reality TV show.
Write the numerical expression. Then evaluate
the expression.
12. one half of negative five eighths
So, the width is
11. One evening,
SOLUTION: One half of five eighths can be represented as
.
feet.
of the students in Rick’s class
watched television. Of those students,
watched a reality show. Of the students that watched the show,
of them recorded the show. What fraction of the students in Rick’s class watched and recorded a
reality TV show?
SOLUTION: Let s represent the fraction of students in Rick’s
class who watched and recorded a reality TV show.
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13. one third of eleven sixteenths
SOLUTION: One third of eleven sixteenths can be represented as
.
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31. Of the dolls in Marjorie’s doll collection, have red hair. Of these,
have green eye, have blue eyes,
4-6 Multiply Fractions
of Marjorie’s doll collection has both red hair and
blue eyes, so the statement is true.
c. Let d represent the dolls that have both red hair
and brown eyes.
31. Of the dolls in Marjorie’s doll collection, have red hair. Of these,
have green eye, have blue eyes,
and
have brown eyes. Determine if each
statement is true or false.
a.
of Marjorie's doll collection has red hair and
green eyes.
b.
of Marjorie’s doll collection has both red hair and
blue eyes, so the statement is false.
32. The table shows the number of teaspoons of vanilla
needed to make different batches of cookies.
of Marjorie's doll collection has red hair and
blue eyes.
c.
of Marjorie's doll collection has red hair and
brown eyes.
SOLUTION: Multiply the corresponding fractions, simplify as
necessary, and then determine if the statement is
true.
a. Let d represent the dolls that have both red hair
and green eyes.
Select one box from each row to describe how to
find the number of teaspoons of vanilla needed to
make n batches of cookies.
How many teaspoons of vanilla are needed to make
batches of cookies?
SOLUTION: Consider the relationship between 1 and
of Marjorie’s doll collection has both red hair and
green eyes, so the statement is true.
b. Let d represent the dolls that have both red hair
and blue eyes.
. This relationship must be the same between 2 and and
between each batch and amount of vanilla needed
for each batch.
Addition: Adding 4 or to the batches would make
the teaspoons of vanilla larger than the batches, but
the teaspoons of vanilla are smaller so it cannot be
addition
Subtraction:
of Marjorie’s doll collection has both red hair and
blue eyes, so the statement is true.
c. Let d represent the dolls that have both red hair
and brown eyes.
Since neither result in
, it cannot be subtraction.
Multiplication:
This works, but check the next set to make sure.
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of Marjorie’s doll collection has both red hair and
blue eyes, so the statement is false.
Since multiplying by
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works, the answer should be
Multiplication:
4-6 Multiply Fractions
This works, but check the next set to make sure.
Since multiplying by
to multiply n by
works, the answer should be
.
To determine how many teaspoons of vanilla are
needed to make
by
batches of cookies, multiply .
So, it will take
teaspoons.
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