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**Decimals and Fractions**

Applied Mathematics Jefferson College ATS

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Definitions Decimal - Any number shown with a decimal point; a number based upon tenths or hundredths. ( 0.2, 0.375, 86.4 ) Fraction - One or more of the equal parts of a whole; a number usually expressed in the form a/b. ( 1/3, 2 5/8, 7/4 )

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**Converting Fractions to Decimals**

To convert a fraction to a decimal, divide the numerator by the denominator. Do this until you get a decimal that terminates or repeats. If it repeats, place a bar (--- ) over the first number that repeats. Example 1: Convert 3/4 to a decimal 3/4 = 3÷4= 0.75 ( terminating decimal) Example 2: Convert 2/3 to a decimal 2/3= 2÷3= ( repeating decimal )

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**Express fractions as percents by long division**

You try: Express fractions as percents by long division 87.5 % 0.875 = 125 % 1.25 = 37.5 % .375 =

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1) 7/40 2) 7/50 3) 19/10 4)1/4 5)11/10 6)37/25 7)7/20 8)32/25 9)26/20

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**Converting Decimals to Fractions**

In order to convert a decimal to a fraction, place the number that follows the decimal point over the place that it is in ( tenths, hundredths, thousandths, etc.). Then simplify as necessary. Example 1: Convert 0.7 to a fraction 0.7= 7/10 ( 7 is in the tenths place ) Example 2: Convert 0.25 to a fraction 0.25= 25/100= 1/4 ( 25 is in the hundredths place. 1/4 is the simplified form of 25/100) Example 3: Convert to a fraction 1.625= 1 625/1000= 1 5/8 ( 625 is in the thousandths place. 5/8 is the simplified form of 625/1000)

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**Convert decimal to base 10 fraction; simplify**

You try Convert decimal to base 10 fraction; simplify 8 4 0.8 = = 10 5 4 2 1 0.04 = = = 100 25 50 36 18 9 3.36 3 3 3 = = = 100 50 25

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1)0.866 = 2)0.428 = 3)0.3 = 4)0.41 = 5)0.992 =

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6) = 7) = 8)0.62 = 9) 1.22 = 10)0.19 =

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