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Less Than, Greater Than
Mathematics, Grade 5
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Study Guide Less Than, Greater Than Mathematics, Grade 5
❮
1
/
2
❯
COMPARING
FRACTIONS
AND
DECIMALS
Comparing
Fractions
and
Decimals
Let’s
say
we
want
to
compare
3/5
to
0.7
to
see
which
is
GREATER.
1.
One
way
to
compare
a
fraction
to
a
decimal
is
to
convert
the
fraction
to
a
decimal
first,
so
that
we
can
compare
a
decimal
to
a
decimal.
To
compare
0.7
to
3/5
we
can
convert
the
fraction
into
a
decimal
by
dividing
the
numerator
by
the
denominator.
We
would
divide
3
by
5
3
÷
5
_
0
.
6__
5
|
3
.
0
-
0
3
.
0
-
3
0
0
3/5
=
0.6
Now
we
can
compare
a
decimal
to
a
decimal:
0.6
<
0.7
so…
3/5
<
0.7
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Permission
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for
the
purchaser
to
print
copies
for
non-commercial
educational
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2.
Another
way
to
compare
a
fraction
to
a
decimal
is
to
convert
the
decimal
to
a
fraction
and
then
compare
the
fraction
to
a
fraction.
Let’s
compare
3/5
and
0.7
again,
converting
the
decimal
to
a
fraction
this
time.
We
read
0.7
as
three
tenths:
0.3
=
7/10
Now
we
have
two
fractions
to
compare:
3/5
and
7/10.
We
need
to
do
an
additional
step
before
deciding
which
fraction
is
greater:
we
need
to
find
a
COMMON
DENOMINATOR.
10
is
a
common
denominator
between
3/5
and
7/10.
We
do
not
need
to
do
anything
to
7/10
since
it
already
has
10
as
its
denominator.
3
x
2
6
---
=
---
5
x
2
10
Now
they
both
have
the
SAME
denominators
so
we
can
now
see
which
one
is
GREATER:
6/10
<
7/10
so…
3/5
<
0.7
© 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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