2. 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% )
3. 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
Example 2: Convert 2/3 to a decimal
2/3= 2÷3= 0.66 ( repeating decimal )
4. Converting Fractions to Percents
To convert a fraction to a percent, change the
fraction to a decimal. Then multiply the decimal by
100 and put a percent sign (%).
Another way is to move the decimal point two places
to the right and put a percent sign (%).
Example 1: Convert 1/2 to a percent
1/2= 0.50 0.50x 100= 50.00 Answer: 50%
Example 2: Convert 1/3 to a percent
1/3= 0.333 0.333x 100= 33.300 Answer:
33.3 %
5. 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 the decimal ends in.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.)
Example 3: Convert 1.625 to a fraction
1.625= 1 and 625/1000 now reduce…. 1 and 5/8
6. Converting Decimals to
Percents
• In order to convert a decimal to a percent,
either 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
0.20x 100= 20.00= 20% or 0.20= 0. 2 0= 20%
Example 2: Convert 4.00 to a percent
4.00= 4.00x 100= 400.00= 400% or 4.00= 4. 0
0=400%
7. Converting Percents to
Fractions
• When converting percents to fractions, change the
percent to a decimal ( divide the percent by 100 or
move the decimal point two places to the left ). Then
put the numbers behind the decimal point over the
place that it is in ( tenths, hundredths, thousandths,
etc.). Then 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= 125/1000=1/8 ( 125 is in the
thousandths place. 1/8 is the simplified form of
125/1000 )
8. Converting Percents to Decimals
When converting a percent to a decimal,
divide the percent by 100 or move the
decimal point two places to the left and put
the decimal point.
Example 1: Convert 72% to a decimal
72% 72÷ 100= 0.72 or 7 2 . 0= 0.72
Example 2: Convert 62.5% to a decimal
62.5% 62.5÷ 100= 0.625 or 6 2 . 5= 0.625
