Percents, fractions, and decimals are all just different ways of writing numbers. For example, each of the following are equivalent:

Percent | Fraction | Decimal |
---|---|---|

$50\%$ | $\dfrac{1}{2}$ | $0.5$ |

In conversation, we might say Ben ate $50\%$ of the pizza, or $\dfrac12$ of the pizza, or $0.5$ of the pizza. All three of these phrases mean the exact same thing.

In this article, we'll learn how to convert between percents, fractions, and decimals.

## Converting between percents and fractions

### Percents to fractions

Let's look at an example converting $15\%$ to a simplified fraction.

We figured out that $15\%$ is equivalent to $\dfrac3{20}$.

### Fractions to percents

Let's convert $\dfrac35$ to a percent. The key here is to turn $\dfrac35$ to a fraction with a denominator of $100$. To do this, we need to know what times $5$ gives us $100$:

The number is $100 \div 5 = \blueD{20}$:

Now we're ready to convert $\dfrac35$ to a percent:

We figured out that $\dfrac35$ is equivalent to $60\%$.

## Converting between percents and decimals

### Percents to decimals

Let's convert $8\%$ to a decimal:

We figured out that $8\%$ is equivalent to $0.08$.

### Decimals to percents

Let's convert $0.05$ to a percent:

We figured out that $0.05$ is equivalent to $5\%$.

Converting from a decimal to a percent can be tricky when the decimal is in tenths. Let's see if you can figure it out!