# Fraction, Decimal, Percent Conversion

## Convert Percents to Decimals and Fractions

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

- 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.
- Remove the percent sign.

*Example: *

*Turn 35% into a decimal.*

## Convert Fractions and Decimals to Percents

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!)

## Convert Fractions to Decimals

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.

## Convert Decimals to Fractions

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):