Converting Between Fractions, Decimals, and Percents


Decimals-The decimal numeral system (also called base ten or occasionally denary) has ten as its base. It is the numerical base most widely used by modern civilizations.
Fractions-An expression that indicates the quotient of two quantities, such as 1/3.
Percents-Fraction or ratio with 100 as the fixed and understood denominator.




Steps to make a decimal into a fraction-

Step 1: Write down the decimal divided by 1, like this: decimal/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
taken from-http://www.mathsisfun.com/converting-decimals-fractions.html
Decimals-Fractions.JPG

Steps to convert percentage to fraction-


1. To convert a percent to a decimal, first identify the percent and place the point (actually a decimal point) at the end of that number.
2.Place a zero at the beginning of any one digit number to make it a two digit number before changing it to a decimal.3.Move the decimal point two places to the left to convert the fraction to a decimal number.


external image memdecimals_1_.gif
http://www.mathatube.com/images/memdecimals_1_.gif





1. Find a number you can multiply the bottom of the fraction by to get 100.
2. Multiply both top and bottom of the fraction by that number.
3. Then write down just the top number with the "%" sign.

example of percentage to fraction-

external image convert_percent_to_a_fraction.gif