Fraction, Decimal, Percent Conversion

It's very simple to convert a percent to a decimal (and from there, it's easy to convert a decimal to a fraction!)

1. Convert your percent to a decimal (if necessary) by dividing the percent by 100 (shortcut: move the decimal two places to the left-- or away from the percent sign).  Remember, if you do not see a decimal point, it's right behind the last number.  Write it in if it helps you.
2. Remove the percent sign.

Example: 

Turn 35% into a decimal.

It's very simple to convert a decimal to a percent (and if you start with a fraction, first convert it to a decimal, and then you can convert it to a percent!)

When we want to represent a part of a number, we usually use a fraction or a decimal.  Some numbers are easier to talk about in terms of decimals (.07 is seven cents!) and others are easier to talk about in terms of fractions (if I eat 5 out of a dozen bagels, I ate $\dfrac{5}{12}$ of the bagels).  Others numbers are as easily written as decimals or fractions: one half is $\dfrac{1}{2}$ or .5.

It's relatively easy to convert decimals to fractions, as long as you can name your decimals. (Read this lesson to review naming decimals).

Once you can name a decimal, using its pace value, you use that same place value to create a fraction. 

Example:

What is .3 as a fraction?

How do you read that decimal? Three tenths. 

How do you write three tenths as a fraction? $dfrac{3}{10}$

Just read the decimal and put the place value as the denominator, them simplify if necessary):