Thursday, February 21, 2013

Fraction Decimal Percent Table

FRACTION DECIMAL PERCENT TABLE

Decimals, Fractions and Percentages are just different ways of showing the same value:


A Half can be written...

As a fraction:       1/2

As a decimal:        0.5

As a percentage:   50%

A Quarter can be written...

As a fraction:       1/4

As a decimal:        0.25

As a percentage:   25%

Example Values

Here is a table of commonly occurring values shown in Percent, Decimal and Fraction form:

Percent       Decimal      Fraction

1%                0.01                      1/100

5%                0.05                       1/20

10%              0.1                1/10

12½%           0.125            1/8

20%               0.2                1/5

25%               0.25                        1/4

331/3%          0.333...        1/3

50%               0.5               1/2

75%            0.75           3 /4

80%            0.8             4/5

90%            0.9           9/10

99%           0.99        99/100

100%          1               1

125%          1.25        5/4

150%            1.5         3/2

200%             2           2

Converting Between Percentage and Decimal

Percentage means "per 100", so 50% means 50 per 100,

or simply 50/100.If we divide 50 by 100 you get 0.5 (a decimal number).

So, to convert from percentage to decimal: divide by 100 (and remove the "%" sign).The easiest way to divide by 100 is to move the decimal point 2 places to the left.

Example: Convert 8.5% to decimal

Move the decimal point two places: 8.5 -> 0.85 -> 0.085

Answer 8.5% = 0.085

Converting From Decimal to Percentage

To convert from decimal to percentage, just multiply the decimal by 100, but remember to put the "%" sign so people know it is per 100.The easiest way to multiply by 100 is to move the decimal point 2 places to the right.

Example: Convert 0.65 to percent

Move the decimal point two places: 0.65 -> 6.5 -> 65.

Answer 0.65 = 65%

To change a Decimal into a Fraction

Take the decimal, drop the decimal point, and place the result into the numerator  of a fraction.

To determine the denominator , write a 1, followed by zeros --- as many zeroes as it takes to match the original length of the decimal.

Examples:

0.75 becomes 75/100

0.034 becomes 34/1000

2.5 becomes 25/10

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