Converting Fractions, Decimals And Percents Worksheet
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MODULE 5. PERCENTS
5a
Converting Fractions, Decimals, and Percents
First, the definition of percent:
The Meaning of Percent. Percent means “parts per hundred.”
Because a percent can be thought of as a ratio wih denominator 100, a
common task is change a percent into a fraction.
Changing a Percent to a Fraction
Percent to Fraction. To change a percent to a fraction, drop the percent
sign and put the number over 100.
You Try It!
Change 36% to a fraction
EXAMPLE 1. Change 24% to a fraction.
reduced to lowest terms.
Solution. Drop the percent symbol and put 24 over 100.
24
24% =
Percent: Parts per hundred.
100
6
=
Reduce.
25
Answer: 9/25
Hence, 24% = 6/25.
You Try It!
1
2
Change 11
% to a fraction
EXAMPLE 2. Change 14
% to a fraction.
9
7
reduced to lowest terms.
2
Solution. Drop the percent symbol and put 14
over 100.
7
2
14
2
7
14
% =
Percent: Parts per hundred.
7
100
100
7
=
Mixed to improper fraction.
100
100
1
=
Invert and multiply.
·
7
100
¨ ¨
100
1
=
Cancel.
¨ ¨
·
7
100
1
=
7
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