Membership
Sign Up
Sign In
Can't access your account?
Explore Curriculum
Research
Standards Correlations
Teacher Reviews
Science
Math
Social Studies
READING/ELA
Sign in
MEMBERSHIP
Explore Curriculum
Research
Standards Correlations
Teacher Reviews
Back
Proportions/Equivalent Fractions
Mathematics, Grade 6
Back
Study Guide
Provides a quick overview of the topic selected!
Flash Cards
Practice and review the topic selected with illustrated flash cards!
Quiz
Assess students’ understanding of the topic selected!
Worksheets
Print illustrated worksheets!
Games
Engage students with interactive games.
Study Guide Proportions/Equivalent Fractions Mathematics, Grade 6
❮
1
/
3
❯
EQUIVALENT
FRACTIONS
What
Are
Equivalent
Fractions?
•
Equivalent
fractions
represent
the
same
ratio
between
two
values.
•
Fractions
show
a
ratio
between
two
values.
The
fraction
½
represents
1
out
of
2.
If
there
were
2
students
sharing
an
assignment,
each
would
do
part
of
the
work.
The
work
would
be
divided
into
2
equal
parts
and
each
student
would
do
1
part
or
½
the
total
project.
•
The
fraction
½
also
represents
part
of
a
set.
If
there
are
2
cookies
in
a
set
and
one
is
eaten,
then
1
out
of
2
cookies
is
eaten.
The
relationship
between
the
cookie
eaten
and
the
total
number
of
cookies
is
1
out
of
2
or
1/2.
•
Because
sets
come
in
a
variety
of
sizes,
fractional
parts
will
have
a
variety
of
denominators.
The
fraction
1/2,
for
instance,
has
many
equivalents:
1
2
3
4
5
6
7
8
9
10
12
15
19
31
44
50
100
2
4
6
8
10
12
14
16
18
20
24
30
38
62
88
100
200
•
The
ratio
of
all
the
fractions
in
this
table
is
1
to
2.
As
a
result,
all
the
fractions
in
the
table
are
equivalents
of
½.
•
Any
number
times
1
equals
itself.
For
example
1
x
4
=
4,
1
x
37
=
37,
1
x
576
=
576.
Therefore,
1
x
½ =
½.
•
Like
½, the
number
1
has
a
multitude
of
equivalents:
2/2,
4/4,
10/10,
50/50.
Whenever
the
numerator
and
denominator
are
the
same
numbers,
the
fraction
is
equivalent
to
one.
1
x
5
=
5
3/3
x
½
=
3/6
6/6
x
½
=
6/12
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
How
to
calculate
an
equivalent
fraction:
•
To
calculate
an
equivalent
fraction,
multiply
the
fraction
by
1
or
one
of
its
equivalent
fractions.
Choose
a
number
that
when
multiplied
by
the
denominator
will
produce
a
sum
that
helps
you
solve
a
problem.
•
For
example:
1/5
=
n/25
1/5
x
5/5
=
5/25
n
=
5
-------------------------------------------------
3/7
=
n/21
3/7
x
3/3
=
9/21
n
=
9
•
Calculating
equivalent
fractions
allows
us
to
solve
a
problem
in
which
the
two
fractions
do
not
have
the
same
denominators.
For
example:
2/5
+
7/15
=
(2/5
x
3/3)
+
7/15
=
6/15
+
7/15
=
13/15
•
Changing
the
denominator
of
2/5
to
15
allows
us
to
add
the
two
fractions.
This
is
accomplished
by
multiply
2/5
x
1
which
equals
2/5,
but
using
3/3
(an
equivalent
of
1).
Any
fraction
can
be
changed
to
an
equivalent
by
multiplying
times
a
fraction
equivalent
to
1.
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Try
This!
1.
What
is
an
equivalent
fraction
for
4/5?
_________________________________________
2.
What
is
the
numerator
for
this
equivalent
fraction?
5/8
=
n/40
_________________________________________
3.
Are
15/20
and
30/40
equivalent
fractions?
_________________________________________
4.
What
is
the
numerator
for
this
equivalent
fraction?
21/24
=
n/72
_________________________________________
5.
Are
5/10
and
25/55
equivalent
fractions?
_________________________________________
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Need Help?
Contact Us
Browse Virtual Catalog
Request a Catalog
Order Form
W-9 Form
FAQs
NewPath Learning
About Us
Our Team
Awards & Endorsements
Grants & Funding
Product Suggestions
Custom Publishing
Collaborate Online
Our Blog
Solutions
Review & Reinforcement
Intervention & Enrichment
Test Prep
After School/Summer School
Parental Involvement
Professional Development
Shop By Product
Curriculum Mastery Games
Flip Charts
Visual Learning Guides
Curriculum Learning Modules
E-Books/Workbooks
Posters & Charts
Study/Vocabulary Cards
Digital Curriculum
Online Learning
Online Printable Worksheets
Shop By Grade
Early Childhood
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
High School
Shop By Subject
Science
Math
Reading/ELA
ESL & Spanish
Social Studies
Health
© 2021 NewPath Learning all right reserved
|
Privacy Statements
|
Term of use
|
Website design WinMix Soft