5.2 Percent Converting Between Fractions, Decimals, And Percents Worksheet Page 2
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10d.
Writing the percent as a ratio and dividing:
325
325% =
= 3.25
100
Since percents are used so frequently to compare different ratios, we often want to convert ratios
7
(or fractions) to percents. Suppose we want to convert the fraction
to a percent. Recall that a
8
x
percent is a ratio with a denominator of 100. Thus we want to find the value of x such that
100
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is equivalent to the original fraction
. We solve the proportion:
8
x
7
=
100
8
x
7
= 200 •
200 •
100
8
2x = 175
175
x =
= 87.5%
2
7
The fraction
is equivalent to 87.5%.
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Example 2
Convert each fraction or mixed number to a percent.
3
a.
4
1
b.
4
2
2
c.
3
5
d.
2
6
373
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