Fractions * Decimals * Percents

The student will learn how to convert various fractions, decimals and

percentages

Converting fraction to decimal• To convert fraction to decimal you divide

the numerator by the denominator

3 5 3

5

.6

5 3.0

3 0 .6

Converting fraction to decimal

1 .33

3 3 1.0

9

10 or

9

1

.333

.33 1/3

Converting decimals to fractionsWrite a fraction, using the decimal number as the

numerator and a power of 10 (10,100,1000 etc.) corresponding to the place value of the last digit of the decimal # as the denominator

Example 1 : .25 as a fraction

25 is the numerator

In .25 the last digit is in the hundredths place,

therefore 100 is the denominator

25 ÷ 25 = 1

100 ÷ 25 = 4 1/4

Converting decimals to fractions• Example 2: 4.375 set aside the 4 and convert

the .375 into a fraction 375 is the numerator. In the decimal # .375, 5 is

the last digit & is in the thousandths place, therefore 1000 is the denominator.

The greatest divisor common to both numerator & denominator is 125. 375 ÷ 125 = 3 The reduced fraction is 3/8

1000 ÷ 125 = 8 Annex the 4 for

4 3/8

Percents to fraction to decimal % means hundredths – 100’s

% - sign for percent

Every % may be written a decimal or fraction

Example : 1% or .01 or 1/100

Percent Fraction Decimal

5% 5/100 .05

7.5% 7.5/100 .075

120% 120/100 1.20

.8% .8/100 .008

Percents to fraction to decimal

Percent Move

decimal

Decimal

#

5% 05 .0 5

150% 150 1.50

.2% 002 .002

65% 65 .65

When you change a % to decimal,you move the decimal 2 places LEFT ( drop the % sign)

Percents to fraction to decimal

Decimal

#

move

decimal

Percent

3 300 300%

.35 35 35%

4.5 450 450%

.2 20 20%

When you change a decimal to a %, you move the decimal 2 places RIGHT & add the % sign

Percent of a number•Change percent to a decimal #•% means hundredth

•Multiply number by the decimal #

75% of $45.00 75% is 75/100 or .75 45

x.75 225 315 33.75

$33.75

Percent of a number

60% of $1,450.0060% = .60

1450.00 60 870.0000

$870.00