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Adding Fractions
Mathematics, Grade 5
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Study Guide Adding Fractions Mathematics, Grade 5
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ADDING
FRACTIONS
How
to
Add
Fractions
Fractions
consist
of
two
numbers.
The
top
number
is
called
the
numerator.
The
bottom
number
is
called
the
denominator.
numerator
denominator
To
add
two
fractions
with
the
same
denominator:
•
Add
the
numerators
•
Place
the
sum
over
the
common
denominator.
Example:
Find
the
Sum
of
b
•
Add
the
numerators
2
and
4,
which
equals
6
•
Place
the
6
over
the
common
denominator
7
•
The
result
is
6/7
To
add
fractions
with
different
denominators:
•
Find
the
Least
Common
Denominator
(LCD)
of
the
fractions
•
Rename
the
fractions
to
have
the
LCD
•
Add
the
numerators
of
the
fractions
•
Simplify
the
Fraction
Example:
Find
the
Sum
of
2/9
and
3/12
•
Determine
the
Greatest
Common
Factor
of
9
and
12
which
is
3
•
Either
multiply
the
denominators
and
divide
by
the
GCF
(9*12=108,
108/3=36)
-
OR
-
Divide
one
of
the
denominators
by
the
GCF
and
multiply
the
answer
by
the
other
denominator
(9/3=3,
3*12=36)
•
Rename
the
fractions
to
use
the
Least
Common
Denominator
(2/9=8/36,
3/12=9/36)
•
The
result
is
8/36
+
9/36
•
Add
the
numerators
and
put
the
sum
over
the
LCD
=
17/36
•
Simplify
the
fraction
if
possible.
In
this
case
it
is
not
possible.
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Permission
is
granted
for
the
purchaser
to
print
copies
for
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educational
purposes
only.
Visit
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Try
This!
Add
the
following
fractions:
¼ +
2/4
=
_________
11/20
+
4/20
=
__________
½ +
¼ =
________
2/10
+
4/5
=
_________
© 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.
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. All Rights Reserved.
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