1. Chapter 7 – 3 Fractions, Decimals, and Percents
Unit 3
Chapter 7 – 3 Fractions, Decimals, and Percents
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2. Vocabulary
A percent is a ratio that compares a number to 100. The meaning of 75% is shown at the right. In the figure, 75 out of 100 squares are shaded.
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3. Percents as Fractions = 9 25 = 6 5 =1 1 5 = 5 1000 = 1 200
To write a percent as a fraction, express the ratio as a fraction with a denominator of Then simplify, if possible. Note that a percent can be greater than a 100% or less than 1%.
Express each percent as a fraction in simplest form
Example 1: Example 2: Example 3: Multiply by
45% = % = % = to eliminate decimal
= = 6 5 = = =
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4. Write Fraction as Percent
To write a fraction as a percent, write an equivalent fraction with a denominator of
Example 1: Example 2:
= 4 5 = = 9 4 =
= 80% =225%
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5. Let’s Practice! Write each percent as a fraction and a decimal
Ex 1) 20% Ex 2) 85% Ex 3)110%
Write each fraction as a percent
Ex 4) Ex 5) 2 5
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6. Let’s Check Our Answers!
Write each percent as a fraction and a decimal
Ex 1) 20% Ex 2) 85% Ex 3)110%
= 1 5 , = , = , 1.1
Write each fraction as a percent
Ex 4) Ex 5) 2 5
= 10% = 40%
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7. Write Percents and Decimals
To write a percent as a decimal, divide by 100 (or move the decimal two places to the left) and remove the percent symbol
To write a decimal as a percent, multiply by 100 (or move the decimal two places to the right) and add the percent symbol
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8. Write Percents as Decimal
Express each percent as a decimal (Remember, divide by 100 or move the decimal two places to the left)
Ex 1) 28% ----divide by 100 and remove the %
28% = 28% = .28
Ex 2) 8% Ex 3) 375%
8% = % = % = % = 3.75%
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9. Write Decimals as Percents
Express each decimal as a percent --- (Remember, multiply by 100 and add the % or move the decimal two places to the right)
Ex 1) Ex 2) Ex 3) 1.35
. 35 = .35 = 35% = = .7% = = 135%
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10. Fractions as a Percent
When expressing a fraction as a percent, express the fraction as a decimal then express the decimal as a percent
Example 1) Ex 2) 5 6
= .625 = 62.5% =
= 83.3%
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11. Remember…
Fractions, decimals, and percents are all different names that represent the same number
1 2 %
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12. Let’s Practice Write the percent as a decimal
Ex 1) 50% Ex 2) 35% Ex 3) 2%
Write the decimal as a percent
Ex 4) .75 Ex5) Ex 6) 1.15
Write the fraction as a percent
Ex 7) Ex 8) 1 3
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13. Let’s Check Our Answers!
Write the percent as a decimal
Ex 1) 50% Ex 2) 35% Ex 3) 2%
= = . 02
Write the decimal as a percent
Ex 4) .75 Ex5) Ex 6) 1.15
= 75% = 5% = 115%
Write the fraction as a percent. Round to the nearest tenth if needed
Ex 7) Ex 8) 1 3
= 62.5% = 33.3%
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