Fractions, decimals, and percents are 3 ways to show parts of a whole.

e.g.  ¾ = 0.75 = 75%

(Different names for the same amount!)

Sometimes in math problems, it is necessary to state the same amount in different ways.  Any given amount can be expressed as a fraction, a decimal, and a percent.

Example  1  Write 50% as a fraction and decimal. 50 %     0.50     Example 2      Write 0.23 as a fraction and percent. 0.23      23 %   Example 3 Write   as a percent.           One way to solve is to use proportion. 4 x n = 3 4n = 300 n = 75 So,    75%  Another way to solve is to divide.    So,   =75%   Remember: percents mean per 100.

Describe the shaded portion as a fraction, decimal, and percent:

What do you know? 50 out of 100

How would you write this as a fraction? 50/100 = 1/2

How would you write this as a decimal? 0.50

How would you write this as a percent? 50%

Describe the shaded portion as a fraction, decimal, and percent:

What do you know? 10 out of 100

How would you write this as a fraction? 10/100 = 1/10

How would you write this as a decimal? 0.10

How would you write this as a percent? 10%