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Ordering Fractions
Mathematics, Grade 5
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Study Guide Ordering Fractions Mathematics, Grade 5
❮
1
/
2
❯
ORDERING
FRACTIONS
A
fraction
consists
of
two
numbers
separated
by
a
line.
The
top
number
(or
numerator)
tells
how
many
fractional
pieces
there
are.
In
the
fraction
3/8,
we
have
three
pieces.
The
denominator
of
a
fraction
tells
how
many
pieces
a
whole
object
was
divided
into.
The
fraction
3/8
tells
us
that
the
whole
object
was
divided
into
8
pieces.
How
to
compare
and
order
fractions:
If
the
denominators
of
two
fractions
are
the
same,
the
fraction
with
the
largest
numerator
is
the
larger
fraction.
For
example:
5/8
is
larger
than
3/8
because
the
pieces
in
the
whole
are
the
same
and
five
pieces
are
more
than
three
pieces.
If
two
fractions
have
different
numerators
and
denominators
it
is
difficult
to
determine
which
fraction
is
larger.
It
is
easier
to
determine
which
is
larger
if
both
fractions
have
the
same
denominator.
Multiply
the
numerator
and
denominator
of
one
fraction
by
the
same
number
so
both
fractions
will
have
the
same
denominator.
For
example,
if
5/12
and
1/3
are
being
compared,
1/3
should
be
multiplied
by
4/4.
It
does
not
change
the
value
of
1/3
to
be
multiplied
by
4/4
(which
is
equal
to
1)
because
any
number
multiplied
by
1
is
still
the
same
number.
After
the
multiplication
(1/3
*
4/4
=
4/12),
the
comparison
can
be
made
between
5/12
and
4/12.
You
may
have
to
multiply
both
fractions
by
different
numbers
to
produce
the
same
denominator
for
both
fractions.
For
example
if
2/3
and
3/4
are
compared,
we
need
to
multiply
2/3
by
4/4
to
give
8/12
and
multiply
3/4
by
3/3
to
give
9/12.
The
fraction
3/4
which
is
equal
to
9/12
is
larger
than
2/3,
which
is
equal
to
8/12.
The
fraction
with
the
larger
numerator
is
the
larger
fraction
if
the
denominators
are
the
same.
© Copyright NewPath Learning. All Rights Reserved.
Permission
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granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
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at
www.NewPathLearning.com.
Try
This!
Compare
and
Order
the
following
fractions:
¼,
¾,
4/4,
2/4
=
____________________________________________
7/9,
3/9,
1/9,
5/9
=
__________________________________________
½,
2/3,
¼,
4/5
=
____________________________________________
¾,
7/8,
2/5,
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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