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Mixed Numbers
Mathematics, Grade 6
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Study Guide Mixed Numbers Mathematics, Grade 6
❮
1
/
4
❯
MIXED
NUMBERS
What
Is
a
Mixed
Number?
•
A
mixed
number
has
both
a
whole
number
and
a
fraction.
If
someone
ate
a
whole
cookie
and
a
third
of
another,
1
1/3
would
represent
how
many
cookies
were
eaten.
Other
mixed
numbers
are:
4
2/3
3
1/7
1
6/9
7
4/5
•
Mixed
numbers
can
be
added,
subtracted,
multiplied,
and
divided,
but
there
are
several
steps
in
the
operations.
Each
operation
has
its
own
set
of
steps.
How
to
add,
subtract,
multiply
and
divide
mixed
numbers:
•
To
add
mixed
numbers,
the
denominators
of
the
fractions
must
be
the
same.
o
Begin
by
changing
one
or
both
denominators
o
Add
the
fractions
and
reduce
to
lowest
terms,
sometimes
this
means
creating
a
mixed
number.
Improper
fractions
have
a
numerator
larger
than
the
denominator.
Divide
the
numerator
by
the
denominator
to
form
a
mixed
number,
for
example,
12/7
=
1
5/7
21/5
=
4
1/5
13/10
=
1
3/10
3/2
=
1
½
o
Add
the
whole
numbers;
include
any
whole
number
resulting
from
adding
the
fractions.
5
2/3
+
3
5/9
→
5
6/9
+
3
5/9
6/9
+
5/9
=
11/9
→
1
2/9
5
+
3
+
1
2/9
=
9
2/9
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Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
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only.
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•
To
subtract
mixed
numbers,
the
denominators
must
be
the
same.
o
Begin
by
changing
one
or
both
denominators.
o
Subtract
the
fractions
and
reduce
to
lowest
terms.
o
Subtract
the
whole
numbers.
6
11/12
–
5
¾ =
7
11/12
–
5
9/12
=
2
2/12
=
2
1/6
______________________________
3
6/7
–
1
2/3
=
3
18/21
–
1
14/21
=
2
4/21
•
To
multiply
mixed
numbers,
both
numbers
must
first
be
changed
to
improper
fractions.
o
An
improper
fraction
has
a
numerator
larger
than
the
denominator:
7/3,
8/5,
22/15
o
To
change
a
mixed
number
to
an
improper
fraction,
multiply
the
whole
number
by
the
denominator
and
then
add
the
numerator
to
the
product.
The
product
becomes
the
new
numerator.
© 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.
Examples:
5
½ →
11/2
3
6/7
→
27/7
o
Once
the
mixed
numbers
have
been
changed
to
improper
fractions,
multiply
the
numerators
and
the
denominators.
5
½ x
3
6/7
=
11/2
x
27/7
=
297/14
o
Change
the
improper
fraction
to
a
mixed
number
by
dividing
297/14
=
21
3/14
•
To
divide
mixed
numbers,
use
the
same
procedure
as
for
multiplication,
but
invert
the
divisor
before
multiplying
.
© 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!
4
2/10
+
3
2/5
=
____________________________________________________________
8
7/8
–
5
1/3
=
____________________________________________________________
3
2/10
x
7
2/5
=
____________________________________________________________
1
7/8
÷
2
1/3
=
_____________________________________________________________
© 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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