Sometimes we need to represent
the same amount in different
ways.
For example, there are a number
of different ways we could
represent one dollar.
One dollar could be:
1 loonie
4 quarters
10 dimes
• The ability to represent the
same amount in different ways
is important for mathematical
operations as well.
• Converting between the three
fundamental forms (decimal,
percent, fraction) is where we
will begin our study.
Suppose you scored 15 out of 20 on
a quiz.
15
=This
0.75is the fraction form of
20
your result
To convert0.75
to percent,
X 100 multiply
= 75% the
decimal by 100
To convert to decimal, perform the
division 15 / 20. You may use a
calculator for these if you need to.
A few more examples:
18
20
13
16
=
0.9
(divided)
=
90%
(Multiplied
by 100%)
= 0.8125 = 81.25%
Convert the following
(try them first, then click to see the
answer)
Fraction
Decimal
Percent
75
100
3
=
4
Fully reduce all
fractions!!!
?
0.75
?
75%
Convert the following
Fraction
3
15
1
=
5
?
Decimal
Percent
?
20%
0.2
?
Convert the following
Fraction
45
100
9
=
20
?
Decimal
Percent
?
45%
0.45
Convert the following
Fraction
3
7
Decimal
Percent
?
43%
0.43
?
Convert the following
Fraction
122
100
61
=
50
?
Decimal
Percent
?
122%
1.22
?
See Sheet
Remember:
• Fractions represent part of a whole.
• A Fraction is a division statement
• For Decimals:
5 1 7
.
3 7 9
Percent (out of 100)
• 33% = 33 / 100
• 79% = 79 / 100
• Putting it all together….