5.2 Percent Converting Between Fractions, Decimals, And Percents Worksheet Page 4
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1
2
3
4
5
6
7
8
9
105
17
d.
First write 2
as the fraction
. Solving the proportion:
6
6
x
17
=
100
6
x
17
= 300 •
300 •
100
6
3x = 850
850
1
x =
= 283
%
3
3
5
1
= 283
Thus 2
% .
6
3
Converting a decimal to a percent is extremely easy. Given the decimal 0.824, we are looking for
x
the ratio
which is equivalent to 0.824. Setting up the equation:
100
x
= 0.824
100
x
= 100 • 0.824
100 •
100
x = 82.4%
Thus 0.824 = 82.4%. Note that, in effect, we are merely multiplying the decimal by 100 to
convert it to a percent.
Example 3
Convert each decimal to a percent.
a.
0.569
b.
0.75
c.
1.671
d.
0.0084
375
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