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Decimals, Fractions, andPercents

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 ) - Percent- The word percent comes from Latin and

means for each hundred or per hundred. (

70, 6.5, 4.09 )

Converting Fractions to Decimals

- 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 34 0.75 (terminating decimal)
- Example 2 Convert 2/3 to a decimal
- 2/3 23 0.66 (repeating decimal)

Converting Fractions to Percent

- Change the fraction to a decimal
- Multiply the decimal by 100 (move two places to

the right) - Put a percent sign ().
- Example 1 Convert 1/2 to a percent
- 1/2 1 2 0.50 (terminated)
- 0.50100 50 50
- Example 2 Convert 1/3 to a percent
- 1/3 13 0.33 (repeating)
- 0.33100 33 33

Converting Decimals to Fractions

- Place the number that follows the decimal point

over the place that it is in ( tenths,

hundredths, thousandths, etc.). - 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.

the GCF of 25 and 100 is 4 therefore 1/4 is the

simplest form of 25/100) - Example 3 Convert 1.625 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)

Converting Decimals to Percent

- 1. Multiply the decimal by 100 and write the

percent sign (), or move the decimal point two

places to the right and write the percent sign

(). - Example 1 Convert 0.20 to a percent
- 0.20100 20 20
- Example 2 Convert 4 to a percent
- 4100 400 400

Converting Percent to Fractions

- Change the percent to a decimal ( the by 100

or move the decimal point 2 places to the left) - Put the numbers behind the decimal point over the

place that it is in ( tenths, hundredths,

thousandths, etc.). - Simplify as necessary
- Example 1 Convert 85 to a fraction
- 85 85 100 0.85 85/100 17/20 ( 85 is in

the hundredths place. 17/20 is the simplified

form of 85/100 ) - Example 2 Convert 12.5 to a fraction
- 12.5 12.5 100 0.125 125/10001/8 ( 125 is in

the thousandths place. 1/8 is the simplified form

of 125/1000 )

Converting Percent to Decimals

- Divide the percent by 100 or move the decimal

point 2 places to the left - Example 1 Convert 72 to a decimal
- 72 72 100 0.72
- Example 2 Convert 62.5 to a decimal
- 62.5 62.5 100 0.625