ID : jp-5-Fraction-Conversions [1]
Grade 5
Fraction Conversions
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Fill in the blanks
(1)
Convert the following fractions to decimal numbers:
A)
53
C)
86
E)
4
100
40
100
974
1000
G)
40
I)
75
78
100
8235
100
=
=
=
=
=
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B)
8
D)
631
1000
4913
100
F)
6603
100
H)
4812
100
J)
1
356
1000
=
=
=
=
=
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ID : jp-5-Fraction-Conversions [2]
(2)
Convert the following decimal numbers as Fraction or Mixed Fraction (Simplification is not
required):
A)
B)
61.739 =
C)
8.483 =
D)
64.17 =
E)
570.75 =
F)
975.8 =
G)
8.399 =
H)
316.47 =
I)
876.8 =
J)
43.38 =
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2.574 =
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ID : jp-5-Fraction-Conversions [3]
Answers
(1)
A)
53.75
Step 1
53
75
100
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 53
75
100
, 53 is a whole number and
75
100
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
75
100
into a decimal number and add it to the whole number 53 .
Step 4
The proper fraction
75
100
can be written as a decimal number as 0.75. Adding the
whole number 53 to the decimal number 0.75, we get 53.75.
Step 5
Therefore, the answer is 53.75.
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ID : jp-5-Fraction-Conversions [4]
B)
8.631
Step 1
8
631
1000
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 8
631
1000
, 8 is a whole number and
631
1000
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
631
1000
into a decimal number and add it to the whole number 8 .
Step 4
The proper fraction
631
1000
can be written as a decimal number as 0.631. Adding
the whole number 8 to the decimal number 0.631, we get 8.631.
Step 5
Therefore, the answer is 8.631.
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ID : jp-5-Fraction-Conversions [5]
C)
86.4
Step 1
86
40
100
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 86
40
100
, 86 is a whole number and
40
100
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
40
100
into a decimal number and add it to the whole number 86 .
Step 4
The proper fraction
40
100
can be written as a decimal number as 0.4. Adding the
whole number 86 to the decimal number 0.4, we get 86.4.
Step 5
Therefore, the answer is 86.4.
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ID : jp-5-Fraction-Conversions [6]
D)
49.13
Step 1
Let us understand the definition of decimal fraction and decimals:
Decimal fraction: is a fraction whose denominator is a power of ten such as 10,
100, 1000 etc.
A decimal number, or just decimal, refers to any number written in decimal
notation. In a number written in decimal notation, all digits to the left of the decimal
point have face values more than one and those on the right of the decimal point
have face values less than one.
Step 2
We should remember following facts about decimal numbers:
Fact 1. When a decimal number is multiplied by ten, the result is obtained by
moving the decimal point to the right by one digit.
Fact 2. When a decimal number is divided by ten, the result is obtained by moving
the decimal point to the left by one digit.
Fact 3. When a number does not have a decimal point, we can assume that there
is a hidden decimal point to the right of the unit digit (right-most digit).
Step 3
Now, let us try to convert the decimal fraction 4913/100 to a decimal number.
Step 4
Here, the number 4913 is to be divided by 100. In other words we can say that
4913 is to be divided by 10 two times.
Step 5
In number 4913, the decimal point can be assumed to be hidden to the right of the
unit digit. When it is divided by 10 two times, the decimal point will move two digits
to the left. Hence the decimal number we get will be:
49.13
Step 6
Therefore, the answer is 49.13.
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ID : jp-5-Fraction-Conversions [7]
E)
4.974
Step 1
4
974
1000
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 4
974
1000
, 4 is a whole number and
974
1000
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
974
1000
into a decimal number and add it to the whole number 4 .
Step 4
The proper fraction
974
1000
can be written as a decimal number as 0.974. Adding
the whole number 4 to the decimal number 0.974, we get 4.974.
Step 5
Therefore, the answer is 4.974.
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ID : jp-5-Fraction-Conversions [8]
F)
66.03
Step 1
Let us understand the definition of decimal fraction and decimals:
Decimal fraction: is a fraction whose denominator is a power of ten such as 10,
100, 1000 etc.
A decimal number, or just decimal, refers to any number written in decimal
notation. In a number written in decimal notation, all digits to the left of the decimal
point have face values more than one and those on the right of the decimal point
have face values less than one.
Step 2
We should remember following facts about decimal numbers:
Fact 1. When a decimal number is multiplied by ten, the result is obtained by
moving the decimal point to the right by one digit.
Fact 2. When a decimal number is divided by ten, the result is obtained by moving
the decimal point to the left by one digit.
Fact 3. When a number does not have a decimal point, we can assume that there
is a hidden decimal point to the right of the unit digit (right-most digit).
Step 3
Now, let us try to convert the decimal fraction 6603/100 to a decimal number.
Step 4
Here, the number 6603 is to be divided by 100. In other words we can say that
6603 is to be divided by 10 two times.
Step 5
In number 6603, the decimal point can be assumed to be hidden to the right of the
unit digit. When it is divided by 10 two times, the decimal point will move two digits
to the left. Hence the decimal number we get will be:
66.03
Step 6
Therefore, the answer is 66.03.
(C) 2015 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibitated
ID : jp-5-Fraction-Conversions [9]
G)
40.78
Step 1
40
78
100
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 40
78
100
, 40 is a whole number and
78
100
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
78
100
into a decimal number and add it to the whole number 40 .
Step 4
The proper fraction
78
100
can be written as a decimal number as 0.78. Adding the
whole number 40 to the decimal number 0.78, we get 40.78.
Step 5
Therefore, the answer is 40.78.
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ID : jp-5-Fraction-Conversions [10]
H)
48.12
Step 1
Let us understand the definition of decimal fraction and decimals:
Decimal fraction: is a fraction whose denominator is a power of ten such as 10,
100, 1000 etc.
A decimal number, or just decimal, refers to any number written in decimal
notation. In a number written in decimal notation, all digits to the left of the decimal
point have face values more than one and those on the right of the decimal point
have face values less than one.
Step 2
We should remember following facts about decimal numbers:
Fact 1. When a decimal number is multiplied by ten, the result is obtained by
moving the decimal point to the right by one digit.
Fact 2. When a decimal number is divided by ten, the result is obtained by moving
the decimal point to the left by one digit.
Fact 3. When a number does not have a decimal point, we can assume that there
is a hidden decimal point to the right of the unit digit (right-most digit).
Step 3
Now, let us try to convert the decimal fraction 4812/100 to a decimal number.
Step 4
Here, the number 4812 is to be divided by 100. In other words we can say that
4812 is to be divided by 10 two times.
Step 5
In number 4812, the decimal point can be assumed to be hidden to the right of the
unit digit. When it is divided by 10 two times, the decimal point will move two digits
to the left. Hence the decimal number we get will be:
48.12
Step 6
Therefore, the answer is 48.12.
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ID : jp-5-Fraction-Conversions [11]
I)
82.35
Step 1
Let us understand the definition of decimal fraction and decimals:
Decimal fraction: is a fraction whose denominator is a power of ten such as 10,
100, 1000 etc.
A decimal number, or just decimal, refers to any number written in decimal
notation. In a number written in decimal notation, all digits to the left of the decimal
point have face values more than one and those on the right of the decimal point
have face values less than one.
Step 2
We should remember following facts about decimal numbers:
Fact 1. When a decimal number is multiplied by ten, the result is obtained by
moving the decimal point to the right by one digit.
Fact 2. When a decimal number is divided by ten, the result is obtained by moving
the decimal point to the left by one digit.
Fact 3. When a number does not have a decimal point, we can assume that there
is a hidden decimal point to the right of the unit digit (right-most digit).
Step 3
Now, let us try to convert the decimal fraction 8235/100 to a decimal number.
Step 4
Here, the number 8235 is to be divided by 100. In other words we can say that
8235 is to be divided by 10 two times.
Step 5
In number 8235, the decimal point can be assumed to be hidden to the right of the
unit digit. When it is divided by 10 two times, the decimal point will move two digits
to the left. Hence the decimal number we get will be:
82.35
Step 6
Therefore, the answer is 82.35.
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Personal use only, commercial use is strictly prohibitated
ID : jp-5-Fraction-Conversions [12]
J)
1.356
Step 1
1
356
1000
is a mixed fraction. A mixed fraction is a combination of a whole number
and a proper fraction.
Step 2
In the mixed fraction 1
356
1000
, 1 is a whole number and
356
1000
is a proper
fraction.
Step 3
To convert the mixed fraction into decimal, we shall first convert the proper fraction
356
1000
into a decimal number and add it to the whole number 1 .
Step 4
The proper fraction
356
1000
can be written as a decimal number as 0.356. Adding
the whole number 1 to the decimal number 0.356, we get 1.356.
Step 5
Therefore, the answer is 1.356.
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ID : jp-5-Fraction-Conversions [13]
(2)
A)
61739
1000
Step 1
Improper fractions have a value more than 1. In an improper fraction, the
denominator is less than the numerator.
Step 2
Let us now convert the decimal number 61.739 into improper fraction. Since the
decimal point is placed just before the thousandths of the number, it can be
expressed as 61739/1000.
Step 3
Therefore, 61.739 =
61739
1000
Step 4
The answer we get is
B)
483
1000
61739
1000
.
8
Step 1
In order to convert 8.483 as improper fraction, let us first look at its two parts: the
whole number part which is 8 and the fractional part which is .483.
Step 2
In the fractional part .483, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
483
1000
.
Step 3
The number 8.483 can be written as a mixed fraction by combining the whole
number 8 with the proper fraction
483
1000
as 8
483
.
1000
Step 4
Thus 8.483 can be written as mixed fraction 8
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483
1000
.
Personal use only, commercial use is strictly prohibitated
ID : jp-5-Fraction-Conversions [14]
C)
17
100
64
Step 1
In order to convert 64.17 as improper fraction, let us first look at its two parts: the
whole number part which is 64 and the fractional part which is .17.
Step 2
In the fractional part .17, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
17
.
100
Step 3
The number 64.17 can be written as a mixed fraction by combining the whole
number 64 with the proper fraction
17
100
as 64
17
.
100
Step 4
Thus 64.17 can be written as mixed fraction 64
D)
57075
17
100
.
100
Step 1
Improper fractions have a value more than 1. In an improper fraction, the
denominator is less than the numerator.
Step 2
Let us now convert the decimal number 570.75 into improper fraction. Since the
decimal point is placed just before the hundredths of the number, it can be
expressed as 57075/100.
Step 3
Therefore, 570.75 =
57075
100
Step 4
The answer we get is
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57075
100
.
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ID : jp-5-Fraction-Conversions [15]
E)
8
10
975
Step 1
In order to convert 975.8 as improper fraction, let us first look at its two parts: the
whole number part which is 975 and the fractional part which is .8.
Step 2
In the fractional part .8, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
8
10
.
Step 3
The number 975.8 can be written as a mixed fraction by combining the whole
number 975 with the proper fraction
8
10
as 975
8
.
10
Step 4
Thus 975.8 can be written as mixed fraction 975
F)
399
1000
8
10
.
8
Step 1
In order to convert 8.399 as improper fraction, let us first look at its two parts: the
whole number part which is 8 and the fractional part which is .399.
Step 2
In the fractional part .399, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
399
1000
.
Step 3
The number 8.399 can be written as a mixed fraction by combining the whole
number 8 with the proper fraction
399
1000
as 8
399
.
1000
Step 4
Thus 8.399 can be written as mixed fraction 8
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399
1000
.
Personal use only, commercial use is strictly prohibitated
ID : jp-5-Fraction-Conversions [16]
G)
31647
100
Step 1
Improper fractions have a value more than 1. In an improper fraction, the
denominator is less than the numerator.
Step 2
Let us now convert the decimal number 316.47 into improper fraction. Since the
decimal point is placed just before the hundredths of the number, it can be
expressed as 31647/100.
Step 3
Therefore, 316.47 =
31647
100
Step 4
The answer we get is
H)
8
10
31647
100
.
876
Step 1
In order to convert 876.8 as improper fraction, let us first look at its two parts: the
whole number part which is 876 and the fractional part which is .8.
Step 2
In the fractional part .8, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
8
10
.
Step 3
The number 876.8 can be written as a mixed fraction by combining the whole
number 876 with the proper fraction
8
10
as 876
8
.
10
Step 4
Thus 876.8 can be written as mixed fraction 876
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8
10
.
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ID : jp-5-Fraction-Conversions [17]
I)
43380
1000
Step 1
Improper fractions have a value more than 1. In an improper fraction, the
denominator is less than the numerator.
Step 2
Let us now convert the decimal number 43.38 into improper fraction. Since the
decimal point is placed just before the thousandths of the number, it can be
expressed as 43380/1000.
Step 3
Therefore, 43.38 =
43380
1000
Step 4
The answer we get is
J)
574
1000
43380
1000
.
2
Step 1
In order to convert 2.574 as improper fraction, let us first look at its two parts: the
whole number part which is 2 and the fractional part which is .574.
Step 2
In the fractional part .574, the decimal point is on the left of two digits. Thus we can
write it as proper fraction
574
1000
.
Step 3
The number 2.574 can be written as a mixed fraction by combining the whole
number 2 with the proper fraction
574
1000
as 2
574
.
1000
Step 4
Thus 2.574 can be written as mixed fraction 2
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574
1000
.
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