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**Fractions, Percents & Decimals**

3 4 30% .30

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**Percent is a ratio that compares a number to 100**

The symbol for percent is % Percent means “per hundred” 17 100 So, is 17%

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40 % Means 40 parts out of 100 or 40 hundredths

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**Percents Have Equivalents in Decimals**

and Fractions 20% .20 20 100 1 5 = = = Percent Decimal Fraction Simplified Fraction

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**x = of Find the percent of a Whole Number? Remember**

“of” means multiply of x =

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**15% 100 of x Step 1 When you see a percent problem,**

you know when you read “of” in the problem you multiply. 15% x 100 of

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**Change your percent to a decimal and then move the decimal point**

Step 2 Change your percent to a decimal and then move the decimal point two places to the left. . 15% x . 100

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**Multiply just like a regular decimal multiplication problem**

Step 3 Multiply just like a regular decimal multiplication problem 100 15 x . 5 1 + 1 5

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**Place the decimal point 2 places to**

Step 4 Place the decimal point 2 places to the left in your answer. 100 x . 15 5 1 + 15 Answer: . .

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Practice x . 25% of 300 . 300 x .25 1 5 + 6 7 5

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**2 places to the left in your answer.**

Move the decimal point 2 places to the left in your answer. 300 x .25 5 1 6 + 7 Answer: 75 . .

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**You can also find the percent of a number by writing the percent as a fraction and multiplying**

25% 40 of 1. Change the percent to a fraction 25 100 25 1 ÷ = 4 ÷

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1 4 x 40 1 4 40 1 10 x 1 1 x 10 10 1 = 1 x 1 10

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**75% 80 of Practice 1. Simplify 2. Multiply 20 80 1 3 4 x 75 100 25 3 ÷**

= 1 4 ÷ 3 x 20 1 x 1 = 60 = 60 = 1

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**65 100 Changing percents to fractions 65% = 65 100 5 13 20 ÷ = ÷**

To express a percent as a fraction, write a fraction with a denominator of 100 Remember – a percent is a number “out of 100.” 65 100 65% = 65 100 5 13 20 ÷ = ÷

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**Changing fractions to percents**

To express a fraction as a percent, write a fraction with a denominator of 100 Remember – a percent is a number “out of 100.” 1 4 1 4 x 25 25 = = x 25 100 25 100 25% =

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