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 =