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ConvertingFractions
Fractions to
to Decimals
Decimals
Converting
Cross-Curricular Reading Comprehension Worksheets: E-26 of 36
Cross-Curricular Reading Comprehension Worksheets: E-26 of 36
Name:__________________________________
Cross-Curricular Focus: Mathematics
Cross-Curricular
Focus: Mathematics
Name: ________________________________________
Answer
the
following
Answer the
followingquestions
questionsbased
basedon
onthe
the reading
reading
passage.
Don’t
forget
to
go
back
to the
passage. Don’t forget to go back to the passage
whenever
necessary
toconfi
find rm
or confirm
your
Fractions and decimals are two different ways to show the same values: passage
whenever
necessary
to find or
your answers.
answers.
parts of wholes. Knowing both systems well and being able to change from
Fractions and decimals are two different ways to show the same values:
one system to the other will help you succeed. Not only will this help you with 1) What is the relationship between fractions and decimals?
parts of wholes. Knowing both systems well, and being able to change from one
1) What is the relationship between fractions and
math
in school,
butyou
alsotoinbesolving
some of life’s
everyday
problems.
________________________________________________
system
to work
the other
will help
very successful.
Not only
will this
help you
decimals? __________________________________
Many
trouble
changing
fractions
decimals
because they
with math
workstudents
in school,have
but also
in solving
some
of life'sto
everyday
problems.
________________________________________________
___________________________________________
don’t know where to start. Remember that we have a base-10 place value
Many students have trouble changing fractions to decimals because they
system. The first space to the right of the decimal point is called the tenths
don't know where to start. Remember that we have a base-10 place value
2) Why
should you try to make an equivalent fraction with a
___________________________________________
place.
space
is called
the
hundredths
each column
system.
TheThe
firstsecond
space to
the right
of the
decimal
point isplace.
called For
the tenths
multiple of ten as your denominator?__________________
that
you
movespace
to theisright,
dividing the
previous
column
by ten.
place.
The
second
calledyou
theare
hundredths
place.
For each
column
that
2) Why should you try to make an equivalent fraction
you For
move
to
the
right,
you
are
dividing
the
previous
column
by
ten.
For
each
________________________________________________
each column that you move to the left, you are multiplying the previous
with a multiple of ten as your denominator?
column
that
you
move
to
the
left,
you
are
multiplying
the
previous
column
by
column by ten. Because of this predictable pattern, one easy way to turn a
___________________________________________
________________________________________________
ten. Because of this predictable pattern, one easy way to turn a fraction into a
fraction
into
a
decimal
is
to
check
and
see
if
the
denominator
can
easily
be
decimal is to check and see if the denominator can easily be turned into ten, one
___________________________________________
turned
one hundred,
or oneif thousand.
example,
if you· need
3) What
is the third decimal place to the right of the
hundred,
orinto
one ten,
thousand.
For example,
you need toFor
write
the fraction
as a to
1
decimal,
you
can
multiply
the
numerator
and
the
denominator
both
by
25
to
get
write the fraction 4 as a decimal, you can multiply the numerator and the
decimal point called? Why?__________________________
25is the hundredths place,
3) What is the second decimal place to the right of the
�
�
�
�
�
�
�.
Since
the
second
decimal
place
a new
fraction:
�
denominator both by 25 to get a new fraction:
. Since the second decimal
100
________________________________________________
decimal point called? Why?
yourplace
decimal
is simply
.25 . The
digityour
5 lands
in theishundredths
is the
hundredths
place,
decimal
simply .25 place
. The and
digitgives
5 lands in
the decimal its name.
___________________________________________
the hundredths place and gives the decimal its name: twenty-five hundredths. ________________________________________________
Sometimes
it is tooit difficult
to cult
make
equivalent
fractionfraction
that is easy
toeasy
Sometimes
is too diffi
toan
make
an equivalent
that is
___________________________________________
convert
into a decimal.
In theseIncases,
fraction
treatedbeastreated
a
to convert
into a decimal.
thesethe
cases,
the should
fractionbeshould
as a 4) Why is it necessary to add a decimal point when you are
division problem. Simply read the fraction from the top down. When you reach
a numerator by its denominator?
division problem. Simply read the fraction from the top down. When you reach dividing
4) What would you say if you were changing the fraction
the fraction bar that separates the numerator and the denominator, read it as
9
the fraction bar that separates the numerator and the denominator, read it as ________________________________________________
into a division problem?
“divided by”. So for the fraction �� , read
16
4 “four divided by five.” At first this may
SoRemember,
for the fraction
, read it as “4 divided by 5.”
seem“divided
difficultby”.
to do.
you are
5 making a decimal. You will need to add
___________________________________________
________________________________________________
first and
this zeroes
may seem
diffi
cult 5���������
to do. Remember,
you are
areable
making
a
In this way you
to divide
a decimalAtpoint
to the
four:
five into
forty You
instead
justto
four.
times eight
40, abut
with
decimal.
will of
need
addFive
a decimal
pointisand
zero
tothe
thedecimal
four: 5 4.0.
___________________________________________
5) Apply what you have learned to write 9/20 as a decimal.
pointInyour
answer
will
be
.8
(eight
tenths).
With
practice,
you
will
develop
your
this way you are able to divide 5 into 40 instead of just 4. You know
skill at converting fractions to decimals until you do not even have to think about
5) Apply what you have learned to write 9/20 as a
5 x 8 = 40, but with the decimal point your answer will be .8 (eight-tenths).
________________________________________________
what you are doing, you will just know what to do.
decimal.
With practice, you will develop your skill at converting fractions to
________________________________________________�
decimals. Soon, you will not even have to think about what you are doing,
___________________________________________
you will just know what to do!
___________________________________________
�
����������©������������������������������������������
Copyright ©2012 K12Reader - http://www.k12reader.com
�
ConvertingFractions
Fractions to
to Decimals
Decimals
Converting
Cross-Curricular Reading Comprehension Worksheets: E-26 of 36
Cross-Curricular Reading Comprehension Worksheets: E-26 of 36
Name:__________________________________
Key
Name: ________________________________________
Answer
the
following
Answer
the
followingquestions
questionsbased
basedon
onthe
the reading
reading
passage.
Don’t
forget
to
go
back
to the
passage. Don’t forget to go back to the passage
whenever
necessary
toconfi
find rm
or confirm
your
Fractions and decimals are two different ways to show the same values: passage
whenever
necessary
to find or
your answers.
answers.
parts of wholes. Knowing both systems well and being able to change from
Actual wording of answers may vary.
Fractions and decimals are two different ways to show the same values:
one system to the other will help you succeed. Not only will this help you with 1) What is the relationship between fractions and decimals?
parts of wholes. Knowing both systems well, and being able to change from one
1) What is the relationship between fractions and
math
in school,
butyou
alsotoinbesolving
some of life’s
everyday
problems.
________________________________________________
system
to work
the other
will help
very successful.
Not only
will this
help you
They are two different ways to
decimals? __________________________________
Many
trouble
changing
fractions
decimals
because they
with math
workstudents
in school,have
but also
in solving
some
of life'sto
everyday
problems.
________________________________________________
show the same value.
___________________________________________
don’t know where to start. Remember that we have a base-10 place value
Many students have trouble changing fractions to decimals because they
system. The first space to the right of the decimal point is called the tenths
don't know where to start. Remember that we have a base-10 place value
2) Why
should you try to make an equivalent fraction with a
___________________________________________
place.
space
is called
the
hundredths
each column
system.
TheThe
firstsecond
space to
the right
of the
decimal
point isplace.
called For
the tenths
multiple of ten as your denominator?__________________
that
you
movespace
to theisright,
dividing the
previous
column
by ten.
place.
The
second
calledyou
theare
hundredths
place.
For each
column
that
2) Why should you try to make an equivalent fraction
you For
move
to
the
right,
you
are
dividing
the
previous
column
by
ten.
For
each
________________________________________________
each column that you move to the left, you are multiplying the previous
with a multiple of ten as your denominator?
column
that
you
move
to
the
left,
you
are
multiplying
the
previous
column
by
column by ten. Because of this predictable pattern, one easy way to turn a
because it will be easy to change it to
___________________________________________
________________________________________________
ten. Because of this predictable pattern, one easy way to turn a fraction into a
fraction
into
a
decimal
is
to
check
and
see
if
the
denominator
can
easily
be
decimal is to check and see if the denominator can easily be turned into ten, one
a decimal
___________________________________________
turned
one hundred,
or oneif thousand.
example,
if you· need
3) What
is the third decimal place to the right of the
hundred,
orinto
one ten,
thousand.
For example,
you need toFor
write
the fraction
as a to
1
decimal,
you
can
multiply
the
numerator
and
the
denominator
both
by
25
to
get
write the fraction 4 as a decimal, you can multiply the numerator and the
decimal point called? Why?__________________________
25is the hundredths place,
3) What is the second decimal place to the right of the
�
�
�
�
�
�
�.
Since
the
second
decimal
place
a new
fraction:
�
denominator both by 25 to get a new fraction:
. Since the second decimal
100
________________________________________________
decimal point called? Why?
yourplace
decimal
is simply
.25 . The
digityour
5 lands
in theishundredths
is the
hundredths
place,
decimal
simply .25 place
. The and
digitgives
5 lands in
the decimal its name.
It is called hundredths, because it is
___________________________________________
the hundredths place and gives the decimal its name: twenty-five hundredths. ________________________________________________
Sometimes
it is tooit difficult
to cult
make
equivalent
fractionfraction
that is easy
toeasy
Sometimes
is too diffi
toan
make
an equivalent
that is
10 times the tenths place.
___________________________________________
convert
into a decimal.
In theseIncases,
fraction
treatedbeastreated
a
to convert
into a decimal.
thesethe
cases,
the should
fractionbeshould
as a 4) Why is it necessary to add a decimal point when you are
division problem. Simply read the fraction from the top down. When you reach
a numerator by its denominator?
division problem. Simply read the fraction from the top down. When you reach dividing
4) What would you say if you were changing the fraction
the fraction bar that separates the numerator and the denominator, read it as
9
the fraction bar that separates the numerator and the denominator, read it as ________________________________________________
into a division problem?
“divided by”. So for the fraction �� , read
16
4 “four divided by five.” At first this may
SoRemember,
for the fraction
, read it as “4 divided by 5.”
seem“divided
difficultby”.
to do.
you are
5 making a decimal. You will need to add
9 divided by 16
___________________________________________
________________________________________________
first and
this zeroes
may seem
diffi
cult 5���������
to do. Remember,
you are
areable
making
a
In this way you
to divide
a decimalAtpoint
to the
four:
five into
forty You
instead
justto
four.
times eight
40, abut
with
decimal.
will of
need
addFive
a decimal
pointisand
zero
tothe
thedecimal
four: 5 4.0.
___________________________________________
5) Apply what you have learned to write 9/20 as a decimal.
pointInyour
answer
will
be
.8
(eight
tenths).
With
practice,
you
will
develop
your
this way you are able to divide 5 into 40 instead of just 4. You know
skill at converting fractions to decimals until you do not even have to think about
5) Apply what you have learned to write 9/20 as a
5 x 8 = 40, but with the decimal point your answer will be .8 (eight-tenths).
________________________________________________
what you are doing, you will just know what to do.
decimal.
With practice, you will develop your skill at converting fractions to
________________________________________________�
.45
decimals. Soon, you will not even have to think about what you are doing,
___________________________________________
you will just know what to do!
Cross-Curricular Focus: Mathematics
Cross-Curricular
Focus: Mathematics
___________________________________________
�
����������©������������������������������������������
Copyright ©2012 K12Reader - http://www.k12reader.com