decimals and fractions applied mathematics jefferson college ats
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Decimals and Fractions
Applied Mathematics
Jefferson College ATS
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 )
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= 0.66 ( repeating decimal )
Express fractions as percents by long division
7
8
5
4
3
8
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
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 fraction0.7= 7/10 ( 7 is in the tenths place )Example 2: Convert 0.25 to a fraction0.25= 25/100= 1/4 ( 25 is in the hundredths place. 1/4 is
the simplified form of 25/100)Example 3: Convert 1.625 to a fraction1.625= 1 625/1000= 1 5/8 ( 625 is in the thousandths
place. 5/8 is the simplified form of 625/1000)
Convert decimal to base 10 fraction; simplify
1)0.866 = 2)0.428 =
3)0.3 =4)0.41 =
5)0.992 =
6) 0.291 =7) 0.284 = 8)0.62 = 9) 1.22 =10)0.19 =